P.G.Grinevich:


List of publications



  1. Grinevich P.G., Novikov R.G. "Multipoint scatterers with zero-energy bound states" - 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
  2. 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
  3. 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
  4. 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, . 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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.
  12. 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
  13. 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
  14. 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
  15. 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;
  16. 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
  17. 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
  18. 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
  19. 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.
  20. 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
  21. 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.
  22. 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.
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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.
  33. 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
  34. 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
  35. 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
  36. 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.
  37. 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
  38. 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
  39. 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
  40. 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.
  41. 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
  42. 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.
  43. 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.
  44. 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
  45. Grinevich P.G. "Complex manifold", "Conformal transformation", "Holomorphic form", "Holomorphic map". - Mathematical physics. Encyclopedia. (in Russian). Editor-in-chief - L.D.Faddeev. 1998.
  46. 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
  47. 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
  48. 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
  49. 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.
  50. 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
  51. 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
  52. 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
  53. 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
  54. 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.
  55. 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
  56. 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.
  57. 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.
  58. 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.
  59. 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.
  60. 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).
  61. 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.
  62. 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.
  63. 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.
  64. 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.
  65. 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
  66. 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.
  67. 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.
  68. 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.
  69. 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.
  70. 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.
  71. 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.
  72. 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.
  73. 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.
  74. 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.
  75. 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.
  76. 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.
  77. 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.
  78. 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.
  79. 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.
  80. 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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