П.Г.Гриневич:


Список публикаций



  1. Grinevich P.G., Santini P.M. "The exact rogue wave recurrence in the NLS periodic setting via matched asymptotic expansions, for 1 and 2 unstable modes" - Available at the arxiv.org/archive/nlin.SI arXiv:1708.04535 e-Print archive: Abstract | Tex file | Pdf file
  2. Grinevich P.G., Santini P.M. "Numerical instability of the Akhmediev breather and a finite-gap model of it" - Available at the arxiv.org/archive/nlin.PS arXiv:1708.00762` e-Print archive: Abstract | Tex file | Pdf file
  3. Grinevich P.G., Santini P.M. "The finite gap method and the analytic description of the exact rogue wave recurrence in the periodic NLS Cauchy problem. 1" - Available at the arxiv.org/archive/nlin.SI arXiv:1707.05659 e-Print archive: Abstract | Tex file | Pdf file
  4. П.Г. Гриневич, Р.Г. Новиков "Многоточечные рассеиватели со связанными состояниями при нулевой энергии", - Теоретическая и математическая физика, 2017 т. 193, №2; c. 309-314; doi:10.4213/tmf9349; English translation - "Multipoint scatterers with bound states at zero energy" - Theoret. and Math. Phys., 2017, v.193, No.2, pp. 1675-1679; - Available at the hal archive: hal-01378022; and arxiv.org/archive/math.SP arXiv:1610.02319 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  5. В. Э. Адлер, Ю. Ю. Берест, В. М. Бухштабер, П. Г. Гриневич, Б. А. Дубровин, И. М. Кричевер, С. П. Новиков, А. Н. Сергеев, М. В. Фейгин, Д. Фельдер, Е. В. Ферапонтов, О. А. Чалых, П. И. Этингоф "Александр Петрович Веселов (к 60-летию со дня рождения)" - Успехи математических наук, 2016, т. 71, №6(432), с. 172-188; doi:10.4213/rm9734; English translation - "Alexander Petrovich Veselov (on his 60th birthday)" - Russian Mathematical Surveys, 2016, v.71, No. 6, pp. 1159-1176; doi:10.1070/RM9734
  6. П.Г. Гриневич, С.П. Новиков " Об s-мероморфных обыкновенных дифференциальных операторах" - Успехи математических наук, 2016, т. 71, №6(432), с. 161-162; doi:10.4213/rm9746; English translation - "On s-meromorphic ordinary differential operators" - Russian Mathematical Surveys, 2016, v.71, No. 6, pp. 1143-1145; doi:10.1070/RM9746
  7. Grinevich P.G., Novikov R.G. "Moutard transform approach to generalized analytic functions with contour poles" - Bulletin des sciences mathématiques 016, v. 140, issue 6, pp. 638-656; doi:10.1016/j.bulsci.2016.01.003; - Available at the hal archive: hal-01249043; and arxiv.org/archive/math.CV arXiv:1512.08874 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  8. П.Г. Гриневич, Р.Г. Новиков "Обобщенные аналитические функции, преобразования типа Мутара и голоморфные отображения" - Функц. анализ и его прил., 2016, т.50, №2; c. 81-84; doi:10.4213/faa3237 English translation: "Generalized analytic functions, Moutard-type transforms, and holomorphic maps" - Funct. Anal. Appl. 2016, v. 50, Issue 2, pp.150-152; doi:10.1007/s10688-016-0140-5; - Available at the hal archive: hal-01234004v1; and arxiv.org/archive/math.CV arXiv:1512.00343 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  9. П.Г. Гриневич, П. М. Сантини "Одна лемма из интегральной геометрии и её приложения: нелокальность в уравнении Павлова и томографическая задача с непрозрачным параболическим объектом" - Теоретическая и математическая физика, 2016, т. 189, №1, с. 59-68; doi:10.4213/tmf9098 ; English translation: "An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objectsTheoretical and Mathematical Physics", 2016, v.189:1, pp. 1450-1458; doi:10.1134/S0040577916100056; - Available at the arxiv.org/archive/nlin.SI arXiv:1511.04436 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  10. Grinevich P.G., Novikov R.G. "Moutard transform for the generalized analytic functions" - The Journal of Geometric Analysis, 2016, v. 26, Issue 4, pp 2984-2995; doi:10.1007/s12220-015-9657-8; - Available at the hal archive: hal-01222481v1; and arxiv.org/archive/math.AP arXiv:1510.08764 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  11. Grinevich P.G., Novikov S.P. "On the s-meromorphic OD operators" - Available at the arxiv.org/archive/math-ph arXiv:1510.06770 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  12. Grinevich P.G., Santini P.M. "Nonlocality and the inverse scattering transform for the Pavlov equation" - Studies in Applied Mathematics, 2016, v. 137, Issue 1, pp. 10-27; doi:10.1111/sapm.12127; - Available at the arxiv.org/archive/nlin.SI arXiv:1507.08205 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  13. Abenda S., Grinevich P. "Rational degeneration of M-curves, totally positive Grassmannians and KP-solitons" - Available at the arxiv.org/archive/nlin arXiv:1506.00563 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  14. Grinevich P.G., Santini P.M., Wu D. "The Cauchy problem for the Pavlov equation" - Nonlinearity, 2015, v. 28, No. 11, pp. 3709-3754; doi:10.1088/0951-7715/28/11/3709; - Available at the arxiv.org/archive/math-ph arXiv:1310.5834 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  15. П.Г.Гриневич, А.Е.Миронов, С.П.Новиков "О нерелятивистском двумерном чисто магнитном суперсимметричном операторе Паули" - Успехи математических наук, 2015, т. 70, №2(422), с. 109-140; doi:10.4213/rm9650; English translation: "On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator" - Russian Mathematical Surveys, 2015, v. 70:2, pp. 299-329; doi:10.1070/RM2015v070n02ABEH004948
  16. П.Г.Гриневич "Элементы теории римановых поверхностей и теорема Римана-Роха" - В сборнике: Геометрические методы математической физики 2. Лекции летней школы. Воскресенское 25-29.06.2012- М.:МАКС Пресс 2014, с. 29-60.
  17. П.Г. Гриневич, С.П. Новиков "Спектрально мероморфные операторы и нелинейные системы" - Успехи математических наук, 2014, т. 69, №5(419), с. 163-164; doi:10.4213/rm9621; English translation: "Spectrally meromorphic operators and non-linear systems" - Russian Mathematical Surveys, 2014, v. 69, No. 5, pp. 924-926; doi:10.1070/RM2014v069n05ABEH004922
  18. Grinevich P.G., Novikov S.P. "Spectral Meromorphic Operators and Nonlinear Systems" arxiv.org/archive/math arXiv:1409.6349 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  19. Grinevich P.G., Novikov R.G. "Faddeev eigenfunctions for multipoint potentials" - Eurasian Journal of Mathematical and Computer Applications, 2013, Volume 1, Issue 2, pp. 76-91; Pdf file; - Available at the hal archive: hal-00747888, version 1; and arxiv.org/archive/math-ph arXiv:1211.0292 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  20. Grinevich P.G., Novikov S.P. "Singular soliton operators and indefinite metrics" - Bulletin of the Brazilian Mathematical Society, New Series, 2013, v. 44, No. 4, pp. 809-840; doi:10.1007/s00574-013-0035-5;
  21. П.Г. Гриневич, С.П. Новиков "Дискретные SLn -связности и самосопряженные разностные операторы на двумерных многообразиях" - Успехи математических наук, 2013, т. 68, №5(413), с. 81-110; doi:10.4213/rm9553; English translation: "Discrete SLn - connections and self-adjoint difference operators on two-dimensional manifolds" - Russian Mathematical Surveys, 2013, v. 68, No. 5 , pp. 861-887; doi:10.1070/RM2013v068n05ABEH004859; - The preliminarily version is available at the arxiv.org/archive/math-ph arXiv:1207.1729 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  22. Grinevich P.G., Santini P.M. "Holomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev-Petviashvili equation" - Journal of Differential Equations, 2013, v. 255, No. 7, pp. 1469-1491; doi:10.1016/j.jde.2013.05.010; - Available at the arxiv.org/archive/math-ph arXiv:1111.4446 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  23. Grinevich P.G., Novikov R.G. "Faddeev eigenfunctions for point potentials in two dimensions" - Physics Letters A, 2012, v. 376, pp. 1102-1106; doi:10.1016/j.physleta.2012.02.025 - Available at the hal archive: hal-00632264, version 1 и arxiv.org/archive/math-ph arXiv:1110.3157 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  24. П.Г.Гриневич, А.Е.Миронов, С.П.Новиков "Двумерный оператор Паули в магнитном поле" - Физика низких температур, 2011, т. 37, №9-10, с. 1040-1045; English translation: "Two-dimensional Pauli operator in a magnetic field" - Low temperature physics, 2011, v. 37, pp. 829-833; doi:10.1063/1.3670025.
  25. Grinevich P.G., Novikov S.P. "Singular solitons and indefinite metrics" - Available at the arxiv.org/archive/math arXiv:1103.2505 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  26. П.Г.Гриневич, А.Е.Миронов, С.П.Новиков "Исправление к статье П.Г. Гриневича, А.Е. Миронова, С.П. Новикова (ТМФ 2010, т. 164, №3, c.333-353)" - Теоретическая и математическая физика, 2011, т. 166, №2, с. 320; doi:10.4213/tmf6613; English translation: "Erratum" - Theoretical and Mathematical Physics, 2011, v. 166, №2, p. 278; doi:10.1007/s11232-011-0022-1.
  27. П.Г.Гриневич, С.П.Новиков, "Сингулярные солитоны и индефинитные метрики" - Доклады Академии наук, 2011, т. 436, №3, сс. 302-305; English translation: "Singular solitons and indefinite metrics" - Doklady Mathematics, 2011, v. 83, №1, pp. 56-58; doi:10.1134/S1064562411010170e.
  28. Grinevich P.G., Mironov A.E., Novikov S.P. "On the Nonrelativistic 2D Purely Magnetic Supersymmetric Pauli Operator" - Available at the arxiv.org/archive/math arXiv:1101.5678 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  29. П.Г.Гриневич, А.Е.Миронов, С.П.Новиков, "Двумерный оператор Шрёдингера: эволюционные (2+1)-системы и их новые редукции; двумерная иерархия Бюргерса и данные обратной задачи" - Успехи математических наук, 2010, т. 65, №3(393), с. 195-196; doi:10.4213/rm9363; English translation: "2D-Schrodinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data" - Russian Mathematical Surveys, 2010, v. 65, No. 3, pp. 580-582; doi:10.1070/RM2010v065n03ABEH004685; - Available at the arxiv.org/archive/math arXiv:1005.0612 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  30. П.Г.Гриневич, А.Е.Миронов, С.П.Новиков, "О нулевом уровне чисто магнитного двумерного нерелятивистского оператора Паули для частиц со спином 1/2" - Теоретическая и математическая физика, 2010, т. 164, №3, с. 333-353; doi:10.4213/tmf6543; English translation: "On the zero level of purely magnetic nonrelativistic 2D Pauli Operators (spin=1/2)" - Theoretical and Mathematical Physics, 2010, v. 164, №3, pp. 1110-1127; doi:10.1007/s11232-010-0089-0; - Available at the arxiv.org/archive/math arXiv:1004.1157 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  31. Grinevich P.G., Mironov A.E., Novikov S.P. "New Reductions and Nonlinear Systems for 2D Schrodinger Operators" - Available at the arxiv.org/archive/math arXiv:1001.4300 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  32. Abenda S., Grinevich P. "Periodic billiard orbits on n-dimensional ellipsoids with impacts on confocal quadrics and isoperiodic deformations" - Journal of Geometry and Physics, October 2010, v. 60, Issue 10, pp. 1617-1633; doi:10.1016/j.geomphys.2010.06.001; - Available at the arxiv.org/archive/nlin arXiv:0903.1980 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  33. П.Г.Гриневич, С.П.Новиков, "Сингулярные конечнозонные операторы и индефинитные метрики" - Успехи математических наук, 2009, т. 64, №4, с. 45-72; doi:10.4213/rm9307; - English translation: "Singular Finite-Gap Operators and Indefinite Metric. I" - Russian Mathematical Surveys, 2009, v. 64, №4, pp. 625-650; doi:10.1070/RM2009v064n04ABEH004629; Isaac Newton Institute for Mathematical Sciences preprint NI09030-DIS - Available at the arxiv.org/archive/math arXiv:0903.3976 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  34. П.Г.Гриневич, К.В.Кайпа "Многомасштабный предел конечнозонных решений уравнения sin-Гордона и вычисление топологического заряда с помощью тета-функциональных формул" - Труды Математического института имени В. А. Стеклова, 2009, т. 266, с. 54-63; English translation: "Calculation of Topological Charge of Real Finite-Gap sine-Gordon solutions using Theta-functional formulae" - Proceedings of the Steklov Institute of Mathematics, 2009, v. 266, pp. 49-58; doi:10.1134/S0081543809030031; - Available at the arxiv.org/archive/math arXiV:0812.2494 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  35. Grinevich P.G, Taimanov I.A. "Spectral conservation laws for periodic nonlinear equations of the Melnikov type." - Amer. Math. Soc. Transl. Ser. 2, 2008, v. 224, pp. 125-138; Max-Plank-Institute für Mathematik preprint MPI 08-10 - Available at the arxiv.org/archive/math arXiv:0801.4143 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  36. Grinevich P.G., Novikov S.P. "Reality problems in the soliton theory." - Probability, Geometry and Integrable Systems. MSRI Publications Volume 55, 2007, pp. 221-239. - Available at the arxiv.org/archive/nlin arXiv:nlin/0609063 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  37. П.Г.Гриневич, Р.Г.Новиков, "Ядро Коши для DN-дискретного комплексного анализа Новикова-Дынникова на треугольной решетке" - Успехи математических наук, 2007, т. 62, №4, с. 155-156; doi:10.4213/rm7483; - English translation: "The Cauchy kernel for the Novikov-Dynnikov DN-discrete complex analysis in triangular lattices." - Russian Mathematical Surveys, 2007, v. 62, No 4, pp. 799-801; doi:10.1070/RM2007v062n04ABEH004438.
  38. Grinevich P.G, Taimanov I.A. "Infinitesimal Darboux transformations of the spectral curves of tori in the four-space" - Int Math Res Notices, 2007, v. 2007, article ID rnm005, 21 pages, published on May 24, 2007; doi:10.1093/imrn/rnm005; - Available at the arxiv.org/archive/math arXiv:math/0611215 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  39. Grinevich P.G, Santini P.M. "Newtonian dynamics in the plane corresponding to straight and cyclic motions on the hyperelliptic curve $\mu^2=\nu^n-1, n\in Z$: ergodicity, isochrony, periodicity and fractals" - Physica D: Nonlinear Phenomena, 2007, v. 232, Issue 1, pp. 22-32; doi:10.1016/j.physd.2007.05.002; - Available at the arxiv.org/archive/nlin arXiv:nlin/0607031 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  40. Doliwa A., Grinevich P.G., Nieszporski M., Santini P.M. "Integrable lattices and their sub-lattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme." - Journal of Mathematical Physics, 2007, v.48. No 1. 28 pages; doi:10.1063/1.2406056; - Available at the arxiv.org/archive/nlin arXiv:nlin/0410046 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  41. Grinevich P.G. "∂-bar approach to integrable systems." - Encyclopedia of Mathematical Physics, eds. J.-P. Fransoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006. pp 34-41.
  42. Grinevich P.G, Santini P.M. "The initial boundary value problem on the interval for the Nonlinear Schrodinger equation; the algebro-geometric approach. I." - American Mathematical Society Translations - Series 2, Advances in the Mathematical Sciences, 2004, v. 212., pp. 157-178. - Available at the arxiv.org/archive/nlin arXiv:nlin/0307026 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  43. Grinevich P.G., Novikov S.P. "Topological phenomena in the real periodic sine-Gordon theory." - Journal of Mathematical Physics, 2003, v.44, Issue 8, pp. 3174-3184; doi:10.1063/1.1588742; - Available at the arxiv.org/archive/math-ph arXiv:math-ph/0303039 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  44. Grinevich P.G., Novikov S.P. "Topological charge of the real periodic finite-gap Sine-Gordon solutions." - Communications on Pure and Applied Mathematics, 2003, v.56, Issue 7, pp. 956-978; doi:10.1002/cpa.10081; - Available at the arxiv.org/archive/math-ph arXiv:math-ph/0111039 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  45. П.Г.Гриневич, С.П.Новиков, "Вещественные конечнозонные решения уравнения Sine-Gordon: формула для топологического заряда" - Успехи математических наук, 2001, т. 56, №5, с. 181-182; doi:10.4213/rm443; - English translation: "Real finite-gap Sine-Gordon solutions: a formula for topological charge." - Russ. Math. Surveys, 2001, v. 56, №5, pp. 980-981; doi:10.1070/RM2001v056n05ABEH000443.
  46. Grinevich P.G. "Approximation theorem for the self-focusing nonlinear Schrodinger equation and for the periodic curves in R 3." - Advances in nonlinear mathematics and science - Phys. D, 2001, v. 152/153, pp. 20-27; doi:10.1016/S0167-2789(01)00155-5; - Available at the arxiv.org/archive/nlin arXiv:nlin/0002020 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  47. Grinevich, P.G. Schmidt, M.U. "Closed curves in R3 and the nonlinear Schrodinger equation." - Proceedings of the Workshop on Nonlinearity, Integrability and All That: Twenty Years after NEEDS '79 (Gallipoli, 1999), pp. 139-145, World Sci. Publishing, River Edge, NJ, 2000.
  48. П.Г.Гриневич, "Преобразование рассеяния для двумерного оператора Шрёдингера с убывающим на бесконечности потенциалом при фиксированной ненулевой энергии" - Успехи математических наук, 2000, т. 55, №6(336), с. 3-70; doi:10.4213/rm333; - English translation: "The scattering transform for the two-dimensional Schrodinger operator with a potential that decreases at infinity at fixed nonzero energy." - Russian Math. Surveys, 2000, v. 55, №6, pp. 1015-1083; doi:10.1070/RM2000v055n06ABEH000333.
  49. Grinevich P.G, Novikov R.G., "Discrete spectrum for n-cell potentials." - Rapport de Recherche №98/10-2, Universite de Nantes; - Available at the arxiv.org/archive/math-ph arXiv:math-ph/9811014 e-Print archive: Abstract Tex file Ps file Pdf file
  50. Grinevich P.G., "Complex manifold", "Conformal transformation", "Holomorphic form", "Holomorphic map". - Mathematical physics. Encyclopedia. (in Russian). Editor-in-chief - L.D.Faddeev. 1998.
  51. Grinevich P.G., Schmidt M.U. "Conformal invariant functionals of immersions of tori into R 3." - Journal of Geometry and Physics, 1998, v. 26, №1-2, pp. 51-78; SFB 288 preprint №252, Berlin, Feb 1997; doi:10.1016/S0393-0440(97)00038-7; - Available at the arxiv.org/archive/math.DG arXiv:dg-ga/9702015 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  52. Grinevich P.G., Schmidt M.U., "Closed curves in R3: a characterization in terms of curvature and torsion, the Hasimoto map and periodic solutions of the Filament Equation." - SFB 288 preprint №254; - Available at the arxiv.org/archive/math.DG arXiv:dg-ga/9703020 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  53. Grinevich P.G. "Nonsingularity of the direct scattering transform for the Kadomtsev-Petviashvili 2 equation with real exponentially decaying at infinity potential." - Lett. Math. Phys., 1997, v. 40, pp. 59-73; doi:10.1023/A:1007333509613; - Available at the arxiv.org/archive/nlin arXiv:solv-int/9509010 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  54. Grinevich P.G., Schmidt M.U., "Periodic preserving deformations of the finite-gap solutions of the soliton equations." in: Proceedings of the first workshop "Nonlinear physics. Theory and experiment". editors: E.Alfinito, M.Boiti, L.Martina, F.Pempinelli. World Scientific (1996). pp. 124-130.
  55. Grinevich P.G., Novikov R.G. "Transparent Potentials at Fixed Energy in Dimension Two. Fixed-Energy Dispersion Relations for the Fast Decaying Potentials." - Commun. Math. Phys., 1995, v.174, pp. 409-446; doi:10.1007/BF02099609; - Available at the arxiv.org/archive/nlin arXiv:solv-int/9410003 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  56. Grinevich P.G., Novikov S.P. "Nonselfintersecting magnetic orbits on the plane. Proof of Principle of the Overthrowing of the Cycles." - Translations of American Mathematical Society, series 2., 1995, v.170, pp. 59-82; - Available at the arxiv.org/archive/nlin arXiv:solv-int/9501006 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  57. Grinevich P.G., Schmidt M.U. "Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations." - Physica D, 1995, v. 87, pp 73-98; doi:10.1016/0167-2789(95)00139-U; SFB 288 preprint №150, Berlin, Dec 1994; - Available at the arxiv.org/archive/nlin arXiv:solv-int/9412005 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  58. Grinevich P.G., "Nonisospectral symmetries of the KdV equation and the corresponding symmetries of the Whitham equations." - In "Singular limits of Dispersive waves", ed. N.M.Ercolany, I.R.Gabitov, C.D.Levermore, D.Serre, NATO ASI Series, Series B: Physics Vol. 320, Plenum, 1994, pp. 67-88. - Available at the arxiv.org/archive/nlin arXiv:solv-int/9509004 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  59. P.G.Grinevich. "Fast decaying potentials on the finite-gap background and the ∂-bar-problem on the Riemann surfaces." - Teoreticheskaya i Mathematicheskaya Fizika, 1994, v. 99, №2, pp. 300-308; Theor. Math. Phys., 1994, v.99, pp. 599-605; doi:10.1007/BF01016145.
  60. П.Г.Гриневич, С.П.Новиков, "Струнное уравнение - II. Физическое решение" - Алгебра и анализ, 1994, т.6, №3, с. 118-140; English translation: St. Petersburg Math. J., 1995, v. 6, №3, pp. 553-574. - Available at the arxiv.org/archive/nlin arXiv:solv-int/9501002 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  61. Grinevich P.G. "The action of the Virasoro nonisospectral KdV symmetries of the Whitham equations." - in "Nonlinear Processes in Physics" (Proccedings of the 3 Potsdam - 5 Kiev Workshop at Clarkson University, Potsdam, NY, USA, August 1-11, 1991), ed. A.S.Fokas, D.J.Kaup, A.C.Newell, V.E.Zakharov, Springer-Verlag, 1993, pp. 108-112; doi:10.1007/978-3-642-77769-1_19.
  62. Grinevich P.G., Orlov A.Yu, Schulman E.I. "On the symmetries of the integrable systems." - In the book. "Important developments in soliton theory", ed. A. Fokas, V.E. Zakharov, Springer-Verlag, Berlin - Heidelberg - New York, 1993, pp. 283-301; doi:10.1007/978-3-642-58045-1_14.
  63. Benderskii V.A., Grinevich P.G., Makarov D.E. "Quantum chemical dynamics in two dimensions." - Chem. Phys., 1993, v. 170, pp. 275-293; doi:10.1016/0301-0104(93)85114-N.
  64. Benderskii V.A., Grinevich P.G., Makarov D.E., Pastur D.L. "Preexponential factor of rate constant of low-temperature chemical reactions. Fluctuational width of tunneling channels and stability frequences." - Chem. Phys., 1992, v.161, pp. 51-61; doi:10.1016/0301-0104(92)80176-V.
  65. П.Г.Гриневич, А.Ю.Орлов, "Действие алгебры Вирасоро на модулях римановых поверхностей. Реализация в теории уравнения Кадомцева-Петвиашвили. Задача Кричевера-Новикова о действии нафункцию Бейкера-Ахиезера" - В сборнике "Геометрия, топология и приложения", Москва, 1990 с. 100-104.
  66. Grinevich P.G., Orlov A.Yu. "Higher (non-isospectral) symmetries of the Kadomtsev-Petviashvily equations and the Virasoro action on Riemann surfsces." - In "Nonlinear evolution equations and dynamical systems", ed. S.Carillo, O.Ragnisco, Springer-Verlag, 1990, pp 165-169; doi:10.1007/978-3-642-84039-5_32.
  67. Grinevich P.G., Orlov A.Yu. "Effect of additional symmetries of K-P equation on the finite-gap solutions and variatons of Riemann surfaces. The Krichever-Novikov problem." - In "Soliton and applications" (Proceedings of the 4 international Workshop, Dubna, USSR, 24 - 26 August 1989), ed. V.G.Makhankov, V.K.Fedyanin, O.K.Pashaev, World Scientific 1990, pp. 147-151.
  68. Grinevich P.G., Krichever I.M. "Algebraic-geometry methods in soliton theory." - In "Soliton theory: a survey of results", ed. A.Fordy, University press, 1990, pp. 354-400.
  69. П.Г.Гриневич, А.Ю.Орлов, "Вариации комплексной структуры римановых поверхностей векторными полями на окружности и объекты теории КП. Задача Кричевера-Новикова о действии на функции Бейкера-Ахиезера" - Функц. анализ и его прил, 1990, т.24, №1, с. 72-73; English translation: "Variations of the complex structures of the Riemann surfaces by the vector fields in the circle and the KP theory objects. The Krichever-Novikov problem of the action on the Baker-Akhiezer function" - Funct. Anal. Appl. 1990, v. 24, pp.61-64; doi:10.1007/BF01077923.
  70. Grinevich P.G., Orlov A.Yu. "Virasoro action on Riemann surfaces, Grassmanians, det ∂-bar and Segal-Wilson tau - function." - In Problems of modern quantum field theory (Invited lecvtures of the spring school held in Alushta USSR, April 24 - May 5, 1989), ed. A.A.Belavin, A.U.Klimyk, A.B.Zamolodchikov, Springer-Verlag, 1989, pp. 86-106; doi:10.1007/978-3-642-84000-5_7; - The first version of this text is avaliable at the arxiv.org/archive/math-ph math-ph/9804019 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  71. Grinevich P.G., Orlov A.Yu. Wilson tau - function and det ∂-bar." - In Nonlinear world: Proceedings of the 4 international workshop on nonlinear and turbulent processes in physics. Kiev 9-22 Oktober, 1989, Kiev, Naukova Dumka 1989,v. 2, pp.242-245.
  72. Grinevich P.G., Orlov A.Yu. "Vector fields action on Riemann surfaces and KP theory. The Krichever-Novikov problem." - In Nonlinear world: Proceedings of the 4 international workshop on nonlinear and turbulent processes in physics.Kiev 9-22 Oktober, 1989, Kiev, Naukova Dumka 1989, v. 2, pp.246-249.
  73. П.Г.Гриневич, "Быстроубывающие потенциалы на фоне конечнозонных и ∂-bar-проблема на римановых поверхностях" - Функц. анализ и его прил, 1989, т.23, №4, с. 79-80; English translation: Funct. Anal. Appl. 1989, v. 23, pp. 321-322; doi:10.1007/BF01078948.
  74. Grinevich P.G., Novikov S.P. "Inverse scattering problem for the two-dimensional Schrodinger operator at a fixed negative energy and generalized analytic functions." - Proceedings of the 3 international workshop on nonlinear and turbulent processes in physics.Kiev 13-26 April, 1987, Kiev, Naukova Dumka 1988, pp. 86-89.
  75. Grinevich P.G., Novikov S.P. "Two-dimensional 'inverse scattering problem' for fixed negative energies and generalized analytic functions." - In Proc. of the "Plasma theory and nonlinear and turbulent processes in physics" Workshop, Kiev 13-25 April 1987. World Scientific 1988, pp. 58-85.
  76. Grinevich P.G., Volovik G.E. "Topology of gap nodes in superfluid 3He: pi4 homotopy group for 3 He-B disclination." - Journal of Low Temp. Phys. 1988, v.72, Nos 5/6, 371-380; doi:10.1007/BF00682148.
  77. П.Г.Гриневич, С.П.Новиков "Двумерная "обратная задача рассеяния" для отрицательных энергий и обобщенно-аналитические функции. I. Энергии ниже основного состояния" - Функц. анализ и его прил, 1988, т.22, №1, с.23-33; English translation: "Two-dimensional 'inverse scattering problem' for negative energies and generalized-analytic functions. 1. Energies below the ground state" - Funct.Anal.Appl., 1988, v. 22, pp. 19-27; doi:10.1007/BF01077719.
  78. П.Г.Гриневич, "Рациональные солитоны уравнений Веселова-Новикова - безотражательные при фиксированной энергии двумерные потенциалы." - Теоретическая и математическая физика, 1986, т.69, №2, с. 307-310; English translation: "Rational solitons of the Veselov-Novikov equations are potential reflectionless at fixed energy" - Theor. Math. Phys. 1986, v.69, pp. 1170-1172; doi:10.1007/BF01037878.
  79. П.Г.Гриневич, "Векторный ранг коммутирующих матричных дифференциальных операторов. Доказательство критерия С. П. Новикова." - Известия АН СССР. Сер. матем., 1986, т.50, №3, с. 458-478; English translation: "Vector rank of commuting matrix differential operators. Proof of the S.P.Novikov criterion" - Mathematics of the USSR, Izvestiya, 1987, v. 28, №3, pp. 445-465; doi:10.1070/IM1987v028n03ABEH000892.
  80. П.Г.Гриневич, С.В.Манаков, "Обратная задача теории рассеяния для двумерного оператора Шрёдингера, ∂-bar-метод и нелинейные уравнения" - Функц. анализ и его прил, 1986, т.20, №1, с. 14-24; English translation: "Inverse scattering problem for the two-dimensional Schrodinger operator, ∂-bar - method and nonlinear equations" - Funct. Anal. Appl., 1986, v.20, pp. 94-103; doi:10.1007/BF01077263.
  81. П.Г.Гриневич, Р.Г.Новиков, "Аналоги многосолитонных потенциалов для двумерного оператора Шредингера и нелокальная задача Римана" - Доклады Академии наук СССР, 1986, т.286, №1, с. 19-22; English translation: "Analogues of multisoliton potentials for the two-dimensional Schrodinger operator, and a nonlocal Riemann problem" - Soviet Math. Dokl. 1986, v.33, №1, pp. 9-12.
  82. П.Г.Гриневич, Р.Г.Новиков, "Аналоги многосолитонных потенциалов для двумерного оператора Шрёдингера" - Функц. анализ и его прил., 1985, т. 19, №4, с. 32-42; English translation: "Analogues of multisoliton potentials for the two-dimensional Schrodinger operator" - Funct.Anal.Appl., 1985, v.19, pp. 276-285; doi:10.1007/BF01077292.
  83. П.Г.Гриневич, " Коммутирующие матричные дифференциальные операторы произвольного ранга" - Доклады Академии наук СССР, 1984, т.278,№5, с. 1048-1052; English translation: "Commuting matrix differential orerators of arbitrary rank" - Soviet Math. Dokl. 1984, v.30, №2, pp. 515-518.
  84. С.П.Новиков, П.Г.Гриневич, "О спектральной теории коммутирующих операторов ранга 2 с периодическими коэффициентами" - Функц. анализ и его прил., 1982, т.16, №1, c. 25-26; English translation: "About the spectral theory of commuting operators of rank 2 with periodic coefficients" - Funct. Anal. Appl., 1982, v. 16, pp. 19-21; doi:10.1007/BF01081804.
  85. П.Г.Гриневич, "Рациональные решения уравнений коммутации дифференциальных операторов" - Функц. анализ и его прил., 1982, т.16, №1, с. 19-24; English translation: "Rational solutions for the equations of commutation of differential operators" - Funct. Anal. Appl., 1982, v. 16, pp. 15-19; doi:10.1007/BF01081803.

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