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Kulish Petr Petrovich

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Total publications: 78
Scientific articles: 76

Number of views:
This page:3776
Abstract pages:19252
Full texts:5598
References:1333
Professor
Doctor of physico-mathematical sciences
Website: http://www.pdmi.ras.ru/ru/perso/kulish.php

http://www.mathnet.ru/eng/person20155
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/107685

Publications in Math-Net.Ru
1. New exact solutions of the Born–Infeld model
E. Sh. Gutshabash, P. P. Kulish
Zap. Nauchn. Sem. POMI, 465 (2017),  135–146
2. Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an $SL(n,\mathbb C)$-invariant spin chain
P. A. Valinevich, S. È. Derkachev, P. P. Kulish, E. M. Uvarov
TMF, 189:2 (2016),  149–175
3. Reflection matrices from Hadamard-type Temperley–Lieb $R$-matrices
J. Avan, P. P. Kulish, G. Rollet
TMF, 179:1 (2014),  3–12
4. Temperley–Lieb $R$-matrices from generalized Hadamard matrices
J. Avan, T. Fonseca, L. Frappat, P. P. Kulish, . Ragoucy, G. Rollet
TMF, 178:2 (2014),  255–273
5. Multiplicity function for tensor powers of modules of the $A_n$ algebra
P. P. Kulish, V. D. Lyakhovsky, O. V. Postnova
TMF, 171:2 (2012),  283–293
6. Exactly solvable models of quantum nonlinear optics
N. M. Bogoliubov, P. P. Kulish
Zap. Nauchn. Sem. POMI, 398 (2012),  26–54
7. Reflection $K$-matrices related to Temperley–Lieb $R$-matrices
J. Avan, P. P. Kulish, G. Rollet
TMF, 169:2 (2011),  194–203
8. Jordanian deformation of the open XXX spin chain
P. P. Kulish, N. Manoilovich, Z. Nagy
TMF, 163:2 (2010),  288–298
9. Folded fans and string functions
M. Ilyin, P. Kulish, V. Lyakhovsky
Zap. Nauchn. Sem. POMI, 374 (2010),  197–212
10. Three-magnon problem and integrability of rung-dimerized spin ladders
P. N. Bibikov, P. P. Kulish
Zap. Nauchn. Sem. POMI, 374 (2010),  44–57
11. On the properties of branching coefficients for affine Lie groups
M. Ilyin, P. Kulish, V. Lyakhovsky
Algebra i Analiz, 21:2 (2009),  52–70
12. String Functions for Affine Lie Algebras Integrable Modules
Petr Kulish, Vladimir Lyakhovsky
SIGMA, 4 (2008), 085
13. Discrete symmetries, Darboux transformation, and exact solutions of the Wess–Zumino–Novikov–Witten model
E. Sh. Gutshabash, P. P. Kulish
Zap. Nauchn. Sem. POMI, 360 (2008),  139–152
14. Algebraic Bethe ansatz for seven-vertex model
P. P. Kulish, P. D. Ryasichenko
Zap. Nauchn. Sem. POMI, 347 (2007),  178–186
15. Quantum algebras with representation ring of $\operatorname{sl}(2)$ type
P. P. Kulish, N. Manoilovich
Zap. Nauchn. Sem. POMI, 347 (2007),  167–177
16. Twist of quantum groups and noncommutative field theory
P. P. Kulish
Zap. Nauchn. Sem. POMI, 335 (2006),  188–204
17. Quantum inverse scattering method and (super)conformal field theory
P. P. Kulish, A. M. Zeitlin
TMF, 142:2 (2005),  252–264
18. Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$
P. P. Kulish, P. D. Ryasichenko
Zap. Nauchn. Sem. POMI, 325 (2005),  146–162
19. Full chains of twists for symplectic algebras
D. N. Ananikyan, P. P. Kulish, V. D. Lyakhovsky
Algebra i Analiz, 14:3 (2002),  27–54
20. On construction of universal twist element from R-matrix
A. A. Stolin, P. P. Kulish, E. V. Damaskinsky
Zap. Nauchn. Sem. POMI, 291 (2002),  228–244
21. Group-theoretical structure and inverse scattering method for super-KdV equation
P. P. Kulish, A. M. Zeitlin
Zap. Nauchn. Sem. POMI, 291 (2002),  185–205
22. Unified quantization of three-dimensional bialgebras
E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov
Zap. Nauchn. Sem. POMI, 291 (2002),  169–184
23. On the structure of coboundary $R$-matrices for classical series
E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov
Zap. Nauchn. Sem. POMI, 269 (2000),  193–206
24. Symmetries related to Yang–Baxter equation and reflection equations
E. V. Damaskinsky, P. P. Kulish
Zap. Nauchn. Sem. POMI, 269 (2000),  180–192
25. Invariants of $\boldsymbol B$-Type Links via an Extension of the Kauffman Bracket
P. P. Kulish, A. M. Nikitin
Zap. Nauchn. Sem. POMI, 266 (2000),  107–130
26. Twist-Related Geometries on q-Minkowski Space
P. P. Kulish, A. I. Mudrov
Tr. Mat. Inst. Steklova, 226 (1999),  97–111
27. Dynamic systems related to the Cremmer–Gervais $R$-matrix
E. V. Damaskinsky, P. P. Kulish, M. Chaichian
TMF, 116:1 (1998),  101–112
28. Gauss decomposition of quantum groups and a discrete dynamical model
P. P. Kulish, M. A. Sokolov
Zap. Nauchn. Sem. POMI, 251 (1998),  105–114
29. Dirac operators on quantum $SU(2)$ group and quantum sphere
P. N. Bibikov, P. P. Kulish
Zap. Nauchn. Sem. POMI, 245 (1997),  49–65
30. Gauss decomposition for quantum groups and supergroups
E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov
Zap. Nauchn. Sem. POMI, 224 (1995),  155–177
31. Representations of $Q$-Minkowski space algebra
P. P. Kulish
Algebra i Analiz, 6:2 (1994),  195–205
32. Quantum groups, $q$ oscillators, and covariant algebras
P. P. Kulish
TMF, 94:2 (1993),  193–199
33. Covariant noncommutative differential geometry
P. P. Kulish
Zap. Nauchn. Sem. POMI, 205 (1993),  85–91
34. $q$-Hermite polynomials and $q$-oscillators
E. V. Damaskinsky, P. P. Kulish
Zap. Nauchn. Sem. POMI, 199 (1992),  81–90
35. Contraction of quantum algebras and $q$ oscillators
P. P. Kulish
TMF, 86:1 (1991),  157–160
36. Deformed oscillators and their applications
E. V. Damaskinsky, P. P. Kulish
Zap. Nauchn. Sem. LOMI, 189 (1991),  37–74
37. Two-parameters quantum group and gauge transformation
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 180 (1990),  89–93
38. Clebsch-Gordan coefficients for the rank one quantum superalgebra. I
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 180 (1990),  76–88
39. The quantum superalgebra $\mathrm{osp}(2|1)$
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 169 (1988),  95–106
40. Scattering theory in the massless Lee model
P. P. Kulish, M. A. Sokolov
TMF, 73:1 (1987),  149–153
41. Scattering data for the nonstationary Dirac equation
P. P. Kulish, V. D. Lipovskii, A. V. Shirokov
Zap. Nauchn. Sem. LOMI, 164 (1987),  170–175
42. Hamiltonian interpretation of the method of the inverse problem for the Davey–Stewartson equation
P. P. Kulish, V. D. Lipovskii
Zap. Nauchn. Sem. LOMI, 161 (1987),  54–71
43. An analogue of the Korteweg-de Vries quation for the superconformal algebra
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 155 (1986),  142–149
44. Inverse problem equations for the quantum three wave system
P. P. Kulish, F. A. Smirnov
Zap. Nauchn. Sem. LOMI, 150 (1986),  53–69
45. Integrable graded magnets
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 145 (1985),  140–163
46. Spectral resolution of the $SU(3)$-invariant solutions to the Yang–Baxter equation
S. I. Alishauskas, P. P. Kulish
Zap. Nauchn. Sem. LOMI, 145 (1985),  3–21
47. Integrable fermion chiral models, connected with the classical Lie algebras
P. P. Kulish, N. Yu. Reshetikhin
Zap. Nauchn. Sem. LOMI, 133 (1984),  146–159
48. On the multicomponent nonlinear Schrödinger equation in the case of non-vanishing boundary conditions
V. S. Gerdjikov, P. P. Kulish
Zap. Nauchn. Sem. LOMI, 131 (1983),  34–46
49. Hamiltonian structure of polynomial bundles
P. P. Kulish, A. G. Reiman
Zap. Nauchn. Sem. LOMI, 123 (1983),  67–76
50. Path integral in superspace for a relativistic spinor particle in an external gauge field
N. V. Borisov, P. P. Kulish
TMF, 51:3 (1982),  335–343
51. On the complete integrability of the supersymmetric $(\cos\Phi)_2$ model
P. P. Kulish, S. A. Tsyplyaev
Zap. Nauchn. Sem. LOMI, 120 (1982),  122–135
52. On $GL_3$-invariant solutions to the Yang–Baxter equation and the assosiated quantum systems
P. P. Kulish, N. Yu. Reshetikhin
Zap. Nauchn. Sem. LOMI, 120 (1982),  92–121
53. Action-angle variables for a multicomponent nonlinear Schrödinger equation
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 115 (1982),  126–136
54. Supersymmetric $\cos\Phi_2$ model and the inverse scattering technique
P. P. Kulish, S. A. Tsyplyaev
TMF, 46:2 (1981),  172–186
55. Representation of the Zamolodchikov–Faddeev algebra
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 109 (1981),  83–92
56. Quantum linear problem for the sine-Gordon equation and higher representations
P. P. Kulish, N. Yu. Reshetikhin
Zap. Nauchn. Sem. LOMI, 101 (1981),  101–110
57. Expansion in “square” eigenfunctions of matrix linear system
V. S. Gerdjikov, P. P. Kulish
Zap. Nauchn. Sem. LOMI, 101 (1981),  46–63
58. Quadratic bundle and nonlinear equations
V. S. Gerdjikov, M. I. Ivanov, P. P. Kulish
TMF, 44:3 (1980),  342–357
59. Inverse scattering problem for systems with anticommuting variables and the massive thirring model
A. G. Izergin, P. P. Kulish
TMF, 44:2 (1980),  189–193
60. Generating operators for integrable nonlinear equations
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 96 (1980),  105–112
61. Solutions of the Yang-Baxter equation
P. P. Kulish, E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 95 (1980),  129–160
62. Derivation of the Bäcklund transformation in the formalism of the inverse scattering problem
V. S. Gerdjikov, P. P. Kulish
TMF, 39:1 (1979),  69–74
63. Hierarchy of symplectic forms for the Schrödinger and the Dirac equations on a line
P. P. Kulish, A. G. Reiman
Zap. Nauchn. Sem. LOMI, 77 (1978),  134–147
64. Infrared asymptotics of the Green's function of massive particles in a charge-symmetric model
P. P. Kulish, V. N. Popov
Zap. Nauchn. Sem. LOMI, 77 (1978),  124–133
65. Infrared divergences of quantized gravitational field
P. P. Kulish
Zap. Nauchn. Sem. LOMI, 77 (1978),  106–123
66. Massive Thirring model with field values in a Grassmann algebra
A. G. Izergin, P. P. Kulish
Zap. Nauchn. Sem. LOMI, 77 (1978),  76–83
67. Conservation laws for a string in a static field
P. P. Kulish
TMF, 33:2 (1977),  272–275
68. Anomalies of quantum currents in exactly solvable models
P. P. Kulish, E. R. Nisimov
TMF, 29:2 (1976),  161–170
69. Comparison of the exact quantum and quasiclassical results for a nonlinear Schrödinger equation
P. P. Kulish, S. V. Manakov, L. D. Faddeev
TMF, 28:1 (1976),  38–45
70. Factorization of the classical and the quantum $S$-matrix and conservation laws
P. P. Kulish
TMF, 26:2 (1976),  198–205
71. Low-energy structure of the Feynman $S$-matrix
V. S. Gerdjikov, P. P. Kulish
TMF, 21:2 (1974),  183–194
72. Low-energy for photons and infrared divergences
V. S. Gerdjikov, P. P. Kulish
TMF, 18:1 (1974),  51–55
73. Representations of canonical commutation relations in the limit of an infinite volume
I. Ya. Aref'eva, P. P. Kulish
TMF, 17:1 (1973),  3–18
74. Asymptotic states of massive particles interacting with the gravitational field
P. P. Kulish
TMF, 6:1 (1971),  28–35
75. Asymptotic conditions and infrared divergences in quantum electrodynamics
P. P. Kulish, L. D. Faddeev
TMF, 4:2 (1970),  153–170
76. Inverse scattering problem for the Schroedinger equation on the axis
P. P. Kulish
Mat. Zametki, 4:6 (1968),  677–684

77. Ludvig Dmitrievich Faddeev (on his 80th birthday)
I. Ya. Aref'eva, V. M. Buchstaber, E. P. Velikhov, A. B. Zhizhchenko, V. E. Zakharov, I. A. Ibragimov, S. V. Kislyakov, V. V. Kozlov, P. P. Kulish, L. N. Lipatov, V. P. Maslov, V. A. Matveev, S. P. Novikov, Yu. S. Osipov, A. M. Polyakov, V. A. Rubakov, M. A. Semenov-Tian-Shansky, Yu. A. Simonov, Ya. G. Sinai, A. A. Slavnov, I. A. Sokolov, L. A. Takhtadzhyan, V. E. Fortov, S. L. Shatashvili
Uspekhi Mat. Nauk, 69:6(420) (2014),  183–191
78. Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)
Yu. S. Osipov, A. A. Gonchar, S. P. Novikov, V. I. Arnol'd, G. I. Marchuk, P. P. Kulish, V. S. Vladimirov, E. F. Mishchenko
Uspekhi Mat. Nauk, 50:3(303) (1995),  171–186

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