P.G.Grinevich:


List of publications



  1. Abenda S., Grinevich P.G. "Real soliton lattices of KP-II and desingularization of spectral curves: the Gr^{TP}(2,4) case"; - Available at the arxiv.org/archive/math-ph arXiv:1803.10968 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  2. Grinevich P.G., Novikov R.G. "Moutard transform for the two-dimensional conductivity equation" - Available at the hal archive: hal-01673778; and arxiv.org/archive/math-ph arXiv:1801.00295 e-Print archive: Abstract | Tex file | Pdf file
  3. Abenda S., Grinevich P.G. "KP theory, plane-bipartite networks in the disk and rational degenerations of M-curves" - Available at the arxiv.org/archive/math-ph arXiv:1801.00208 e-Print archive: Abstract | Tex file | Pdf file
  4. Abenda S., Grinevich P. "Rational degeneration of M-curves, totally positive Grassmannians and KP2-solitons" - Commun. Math. Phys. (2018); doi:/10.1007/s00220-018-3123-y; - Available at the arxiv.org/archive/nlin arXiv:1506.00563 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  5. 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" - Physics Letters A, 2018, v. 382, pp. 973-979; doi:10.1016/j.physleta.2018.02.014; - Available at the arxiv.org/archive/nlin.SI arXiv:1708.04535 e-Print archive: Abstract | Tex file | Pdf file
  6. Grinevich P.G., Novikov S.P. "Singular solitons and spectral meromorphy" - Uspekhi Mathematicheskich Nauk, 2017, v. 72, No. 6(432), pp. 113-138 (In Russian); doi:10.4213/rm9806; English translation - Russian Mathematical Surveys, 2017, v.72, No. 6, pp. 1083-1107; doi:10.1070/RM9806;
  7. 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
  8. 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
  9. Grinevich P.G., Novikov R.G. "Multipoint scatterers with bound states at zero energy" - Theoretical and Mathematical Physics, 2017, v.193, №2; pp. 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; doi:10.1134/S0040577917110071; - 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
  10. Adler, V.E., Berest Yu. Yu., Buchstaber V.M., Grinevich P.G., Dubrovin B.A., Krichever I.M., Novikov S.P., Sergeev A.N., Feigin M.V., Felder G., Ferapontov E.V., Chalykh O.A., Etingof P.I. "Alexander Petrovich Veselov (on his 60th birthday)" - Uspekhi Mathematicheskich Nauk, 2016, v. 71, No. 6(432), pp. 172-188 (In Russian); doi:10.4213/rm9734; English translation - Russian Mathematical Surveys, 2016, v.71, No. 6, pp. 1159-1176; doi:10.1070/RM9734
  11. Grinevich P.G., Novikov S.P. "On s-meromorphic ordinary differential operators" - Uspekhi Mathematicheskich Nauk, 2016, v. 71, No. 6(432), pp. 161-162 (In Russian); doi:10.4213/rm9746; English translation - Russian Mathematical Surveys, 2016, v.71, No. 6, pp. 1143-1145; doi:10.1070/RM9746
  12. Grinevich P.G., Novikov R.G. "Moutard transform approach to generalized analytic functions with contour poles" - Bulletin des sciences mathématiques, 2016, 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
  13. Grinevich P.G., Novikov R.G. "Generalized analytic functions, Moutard-type transforms, and holomorphic maps" - Funct. Anal. i ego Pril., 2016, v.50, №2, pp. 81-84 (in Russian); doi:10.4213/faa3237; English translation: 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
  14. Grinevich P.G., Santini P.M. "An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects" -Theoretical and Mathematical Physics, 2016, v. 189, №1, . 59-68; doi:10.4213/tmf9098 ; English translation: Theoretical 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
  15. 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
  16. 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
  17. 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 arXiv:1507.08205 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  18. 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
  19. Grinevich P.G., Mironov A.E., Novikov S.P. "On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator" - Uspekhi Mathematicheskich Nauk, 2015, v. 70, No. 2(422), pp. 109-140 (In Russian); doi:10.4213/rm9650; English translation: - Russian Mathematical Surveys, 2015, v. 70:2, pp. 299-329; doi:10.1070/RM2015v070n02ABEH004948
  20. Grinevich P.G. "Elements of the Riemann surfaces theory and the Riemann-Roch theorem" - In: Geometrical methods in mathematical physics 2. Lectures at summer school. Voskresenskoe 25-29.06.2012- Moscow, MAKS Press 2014, pp. 29-60.
  21. Grinevich P.G., Novikov S.P. "Spectrally Meromorphic Operators and Nonlinear Systems" - Uspekhi Mathematicheskich Nauk, 2014, v. 69, No. 5(419), pp. 163-164 (In Russian); doi:10.4213/rm9621; English translation - Russian Mathematical Surveys, 2014, v. 69, No. 5, pp. 924-926; doi:10.1070/RM2014v069n05ABEH004922
  22. 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
  23. 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
  24. 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;
  25. Grinevich P.G., Novikov S.P. "Discrete SLn - connections and self-adjoint difference operators on two-dimensional manifolds" - Uspekhi Mathematicheskich Nauk, 2013, v. 68, No. 5(413) , pp. 81-110; doi:10.4213/rm9553; English translation - 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
  26. 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
  27. 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; and arxiv.org/archive/math-ph arXiv:1110.3157 e-Print archive: Abstract | Tex file | Ps file | Pdf file
  28. Grinevich P.G., Mironov A.E., Novikov S.P. "Two-dimensional Pauli operator in a magnetic field" - Fizika nizkikh temperatur, 2011, v. 37, №9-10, p. 1040-1045; English translation - Low temperature physics, 2011, v. 37, pp. 829-833; doi:10.1063/1.3670025.
  29. 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
  30. Grinevich P.G., Mironov A.E., Novikov S.P. "Erratum" - Teoreticheskaia i matematicheskaia fizika, 2011, v. 166, №2, p. 320 (in Russian); doi:10.4213/tmf6613; English translation - Theoretical and Mathematical Physics, 2011, v. 166, №2, p. 278; doi:10.1007/s11232-011-0022-1.
  31. Grinevich P.G., Novikov S.P. "Singular solitons and indefinite metrics" - Dokl. Akad. Nauk, 2011, V. 436, №3, pp. 302-305 (in Russian); English translation - Doklady Mathematics, 2011, v. 83, №1, pp. 56-58; doi:10.1134/S1064562411010170e.
  32. 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
  33. Grinevich P.G., Mironov A.E., Novikov S.P. "2D-Schrodinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data" - Uspekhi. Mat. Nauk, 2010, v. 65, No 3(393), pp. 195-196 (in Russian); doi:10.4213/rm9363; English translation - 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
  34. Grinevich P.G., Mironov A.E., Novikov S.P. "On the zero level of purely magnetic nonrelativistic 2D Pauli Operators (spin=1/2)" - Teoreticheskaia i matematicheskaia fizika, 2010, v. 164, No 3, pp. 333-353 (in Russian); doi:10.4213/tmf6543; English translation - Theoretical and Mathematical Physics, 2010, v. 164, No 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
  35. 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
  36. 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
  37. Grinevich P.G., Novikov S.P. "Singular Finite-Gap Operators and Indefinite Metric. I" - Uspekhi. Mat. Nauk, 2009, v. 64, No 4, pp. 45-72 (in Russian); doi:10.4213/rm9307; - English translation - Russian Mathematical Surveys, 2009, v. 64, No 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
  38. Grinevich P.G, Kaipa K. "Calculation of Topological Charge of Real Finite-Gap sine-Gordon solutions using Theta-functional formulae" - Trudy Matematicheskogo Instituta imeni V.A.Steklova, 2009, v. 266, pp. 54-63 (in Russian); English translation: 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
  39. 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
  40. 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
  41. Grinevich P.G., Novikov R.G. "The Cauchy kernel for the Novikov-Dynnikov DN-discrete complex analysis in triangular lattices." - Uspekhi. Mat. Nauk, 2007, v. 62, №4, pp. 155-156 (in Russian); doi:10.4213/rm7483; - English translation: Russian Mathematical Surveys, 2007, v. 62, No 4, pp. 799-801; doi:10.1070/RM2007v062n04ABEH004438.
  42. 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
  43. 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
  44. 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
  45. 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.
  46. 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
  47. 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
  48. 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
  49. Grinevich P.G., Novikov, S.P. "Real finite-gap Sine-Gordon solutions: a formula for topological charge." - Uspekhi. Mat. Nauk, 2001, v. 56, №5, pp. 181-182 (in Russian); doi:10.4213/rm443; - English translation: Russ. Math. Surveys, 2001, v. 56, №5, pp. 980-981; doi:10.1070/RM2001v056n05ABEH000443.
  50. 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
  51. 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.
  52. Grinevich P.G. "The scattering transform for the two-dimensional Schrodinger operator with a potential that decreases at infinity at fixed nonzero energy." - Uspekhi Mat. Nauk, 2000, v. 55, №6(336), pp. 3-70 (in Russian); doi:10.4213/rm333; - English translation: Russian Math. Surveys, 2000, v. 55, №6, pp. 1015-1083; doi:10.1070/RM2000v055n06ABEH000333.
  53. 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
  54. Grinevich P.G. "Complex manifold", "Conformal transformation", "Holomorphic form", "Holomorphic map". - Mathematical physics. Encyclopedia. (in Russian). Editor-in-chief - L.D.Faddeev. 1998.
  55. 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
  56. 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
  57. 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
  58. 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.
  59. 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
  60. 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
  61. 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
  62. 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
  63. 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.
  64. Grinevich P.G., Novikov S.P. "String equation-2. Physical solution." - Algebra and Analysis, 1994, v.6, №3, pp. 118-140 (in Russian); 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
  65. 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.
  66. 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.
  67. 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.
  68. 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.
  69. Grinevich P.G., Orlov A.Yu. "Virasoro algebra action on the moduli of Riemann surfaces. Realization in the Kadomtsev-Petviashvily equation theory. The Krichever-Novikov problem about the action on the Baker-Akhieser function." - In "Geometry and topology and applications", Moscow, 1990 pp. 100-104, (in Russian).
  70. 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.
  71. 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.
  72. 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.
  73. Grinevich P.G., Orlov A.Yu. "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. i ego Pril., 1990, v.24, №1, pp. 72-73 (in Russian); English translation: Funct. Anal. Appl. 1990, v. 24, pp.61-64; doi:10.1007/BF01077923.
  74. 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
  75. 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.
  76. 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.
  77. Grinevich P.G. "Rapidly decreasing potentials on a background of finite-zone potentials and the ∂-problem on Riemann spaces." - Funct. Anal. i ego Pril., 1989, v. 23, №4, pp. 79-80 (in Russian); English translation: Funct. Anal. Appl. 1989, v. 23, pp. 321-322; doi:10.1007/BF01078948.
  78. 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.
  79. 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.
  80. 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.
  81. Grinevich P.G., Novikov S.P. "Two-dimensional 'inverse scattering problem' for negative energies and generalized-analytic functions. 1. Energies below the ground state." - Funct. Anal. i ego Pril., 1988, v. 22, №1, pp. 23-33 (in Russian); Funct.Anal.Appl., 1988, v. 22, pp. 19-27; doi:10.1007/BF01077719.
  82. Grinevich P.G. "Rational solitons of the Veselov-Novikov equations are potential reflectionless at fixed energy." - Teoreticheskaya i Mathematicheskaya Fizika, 1986, v.69, №2, pp. 307-310 (in Russian); English translation: Theor. Math. Phys. 1986, v.69, pp. 1170-1172; doi:10.1007/BF01037878.
  83. Grinevich P.G. "Vector rank of commuting matrix differential operators. Proof of the S.P.Novikov criterion." - Izvestiia. AN SSSR, 1986, v.50, №3, pp. 458-478 (in Russian); English translation: Mathematics of the USSR, Izvestiya, 1987, v. 28, №3, pp. 445-465; doi:10.1070/IM1987v028n03ABEH000892.
  84. Grinevich P.G. Manakov S.V. "Inverse scattering problem for the two-dimensional Schrodinger operator, ∂-bar - method and nonlinear equations." - Funct. Anal. i ego Pril., 1986, v. 20, №1, pp. 14-24 (in Russian); English translation: Funct. Anal. Appl., 1986, v.20, pp. 94-103; doi:10.1007/BF01077263.
  85. Grinevich P.G., Novikov R.G. "Analogues of multisoliton potentials for the two-dimensional Schrodinger operator, and a nonlocal Riemann problem." - Dokl. Akad. Nauk SSSR, 1986, v.286, №1, pp. 19-22 (in Russian). English translation: Soviet Math. Dokl. 1986, v.33, №1, pp. 9-12.
  86. Grinevich P.G., Novikov R.G. "Analogues of multisoliton potentials for the two-dimensional Schrodinger operator." - Funct. Anal. i ego Pril., 1985, v. 19, №4, pp. 32-42(in Russian); English translation: Funct.Anal.Appl., 1985, v.19, pp. 276-285; doi:10.1007/BF01077292.
  87. Grinevich P.G. "Commuting matrix differential orerators of arbitrary rank." - Dokl. Akad. Nauk SSSR, 1984, v.278,№5, pp. 1048-1052. English translation: Soviet Math. Dokl. 1984, v.30, №2, pp. 515-518.
  88. Novikov S.P., Grinevich P.G. "About the spectral theory of commuting operators of rank 2 with periodic coefficients." - Funct. Anal. i ego Pril., 1982, v. 16, №1, pp. 25-26 (in Russian); English translation: Funct. Anal. Appl., 1982, v. 16, pp. 19-21; doi:10.1007/BF01081804.
  89. Grinevich P.G. "Rational solutions for the equations of commutation of differential operators." - Funct. Anal. i ego Pril., 1982, v.16, №1, pp. 19-24 (in Russian); English translation: Funct. Anal. Appl., 1982, v. 16, pp. 15-19; doi:10.1007/BF01081803.

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