Kulish Petr Petrovich

Publications in Math-Net.Ru

1. New exact solutions of the Born–Infeld model
   
   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
   
   TMF, 189:2 (2016),  149–175
3. Reflection matrices from Hadamard-type Temperley–Lieb $R$-matrices
   
   TMF, 179:1 (2014),  3–12
4. Temperley–Lieb $R$-matrices from generalized Hadamard matrices
   
   TMF, 178:2 (2014),  255–273
5. Multiplicity function for tensor powers of modules of the $A_n$ algebra
   
   TMF, 171:2 (2012),  283–293
6. Exactly solvable models of quantum nonlinear optics
   
   Zap. Nauchn. Sem. POMI, 398 (2012),  26–54
7. Reflection $K$-matrices related to Temperley–Lieb $R$-matrices
   
   TMF, 169:2 (2011),  194–203
8. Jordanian deformation of the open XXX spin chain
   
   TMF, 163:2 (2010),  288–298
9. Folded fans and string functions
   
   Zap. Nauchn. Sem. POMI, 374 (2010),  197–212
10. Three-magnon problem and integrability of rung-dimerized spin ladders
    
    Zap. Nauchn. Sem. POMI, 374 (2010),  44–57
11. On the properties of branching coefficients for affine Lie groups
    
    Algebra i Analiz, 21:2 (2009),  52–70
12. String Functions for Affine Lie Algebras Integrable Modules
    
    SIGMA, 4 (2008), 085, 18 pp.
13. Discrete symmetries, Darboux transformation, and exact solutions of the Wess–Zumino–Novikov–Witten model
    
    Zap. Nauchn. Sem. POMI, 360 (2008),  139–152
14. Algebraic Bethe ansatz for seven-vertex model
    
    Zap. Nauchn. Sem. POMI, 347 (2007),  178–186
15. Quantum algebras with representation ring of $\operatorname{sl}(2)$ type
    
    Zap. Nauchn. Sem. POMI, 347 (2007),  167–177
16. Twist of quantum groups and noncommutative field theory
    
    Zap. Nauchn. Sem. POMI, 335 (2006),  188–204
17. Quantum inverse scattering method and (super)conformal field theory
    
    TMF, 142:2 (2005),  252–264
18. Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$
    
    Zap. Nauchn. Sem. POMI, 325 (2005),  146–162
19. Full chains of twists for symplectic algebras
    
    Algebra i Analiz, 14:3 (2002),  27–54
20. On construction of universal twist element from R-matrix
    
    Zap. Nauchn. Sem. POMI, 291 (2002),  228–244
21. Group-theoretical structure and inverse scattering method for super-KdV equation
    
    Zap. Nauchn. Sem. POMI, 291 (2002),  185–205
22. Unified quantization of three-dimensional bialgebras
    
    Zap. Nauchn. Sem. POMI, 291 (2002),  169–184
23. On the structure of coboundary $R$-matrices for classical series
    
    Zap. Nauchn. Sem. POMI, 269 (2000),  193–206
24. Symmetries related to Yang–Baxter equation and reflection equations
    
    Zap. Nauchn. Sem. POMI, 269 (2000),  180–192
25. Invariants of $B$-Type Links via an Extension of the Kauffman Bracket
    
    Zap. Nauchn. Sem. POMI, 266 (2000),  107–130
26. Twist-Related Geometries on q-Minkowski Space
    
    Trudy Mat. Inst. Steklova, 226 (1999),  97–111
27. Dynamic systems related to the Cremmer–Gervais $R$-matrix
    
    TMF, 116:1 (1998),  101–112
28. Gauss decomposition of quantum groups and a discrete dynamical model
    
    Zap. Nauchn. Sem. POMI, 251 (1998),  105–114
29. Dirac operators on quantum $SU(2)$ group and quantum sphere
    
    Zap. Nauchn. Sem. POMI, 245 (1997),  49–65
30. Gauss decomposition for quantum groups and supergroups
    
    Zap. Nauchn. Sem. POMI, 224 (1995),  155–177
31. Representations of $Q$-Minkowski space algebra
    
    Algebra i Analiz, 6:2 (1994),  195–205
32. Quantum groups, $q$ oscillators, and covariant algebras
    
    TMF, 94:2 (1993),  193–199
33. Covariant noncommutative differential geometry
    
    Zap. Nauchn. Sem. POMI, 205 (1993),  85–91
34. $q$-Hermite polynomials and $q$-oscillators
    
    Zap. Nauchn. Sem. POMI, 199 (1992),  81–90
35. Contraction of quantum algebras and $q$ oscillators
    
    TMF, 86:1 (1991),  157–160
36. Deformed oscillators and their applications
    
    Zap. Nauchn. Sem. LOMI, 189 (1991),  37–74
37. Two-parameters quantum group and gauge transformation
    
    Zap. Nauchn. Sem. LOMI, 180 (1990),  89–93
38. Clebsch-Gordan coefficients for the rank one quantum superalgebra. I
    
    Zap. Nauchn. Sem. LOMI, 180 (1990),  76–88
39. The quantum superalgebra $\mathrm{osp}(2|1)$
    
    Zap. Nauchn. Sem. LOMI, 169 (1988),  95–106
40. Scattering theory in the massless Lee model
    
    TMF, 73:1 (1987),  149–153
41. Scattering data for the nonstationary Dirac equation
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  170–175
42. Hamiltonian interpretation of the method of the inverse problem for the Davey–Stewartson equation
    
    Zap. Nauchn. Sem. LOMI, 161 (1987),  54–71
43. An analogue of the Korteweg-de Vries quation for the superconformal algebra
    
    Zap. Nauchn. Sem. LOMI, 155 (1986),  142–149
44. Inverse problem equations for the quantum three wave system
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  53–69
45. Integrable graded magnets
    
    Zap. Nauchn. Sem. LOMI, 145 (1985),  140–163
46. Spectral resolution of the $SU(3)$-invariant solutions to the Yang–Baxter equation
    
    Zap. Nauchn. Sem. LOMI, 145 (1985),  3–21
47. Integrable fermion chiral models, connected with the classical Lie algebras
    
    Zap. Nauchn. Sem. LOMI, 133 (1984),  146–159
48. On the multicomponent nonlinear Schrödinger equation in the case of non-vanishing boundary conditions
    
    Zap. Nauchn. Sem. LOMI, 131 (1983),  34–46
49. Hamiltonian structure of polynomial bundles
    
    Zap. Nauchn. Sem. LOMI, 123 (1983),  67–76
50. Path integral in superspace for a relativistic spinor particle in an external gauge field
    
    TMF, 51:3 (1982),  335–343
51. On the complete integrability of the supersymmetric $(\cos\Phi)_2$ model
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  122–135
52. On $GL_3$-invariant solutions to the Yang–Baxter equation and the assosiated quantum systems
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  92–121
53. Action-angle variables for a multicomponent nonlinear Schrödinger equation
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  126–136
54. Supersymmetric $\cos\Phi_2$ model and the inverse scattering technique
    
    TMF, 46:2 (1981),  172–186
55. Representation of the Zamolodchikov–Faddeev algebra
    
    Zap. Nauchn. Sem. LOMI, 109 (1981),  83–92
56. Quantum linear problem for the sine-Gordon equation and higher representations
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  101–110
57. Expansion in “square” eigenfunctions of matrix linear system
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  46–63
58. Multicomponent nonlinear Schrödinger equation with grading
    
    Dokl. Akad. Nauk SSSR, 255:2 (1980),  323–326
59. Quadratic bundle and nonlinear equations
    
    TMF, 44:3 (1980),  342–357
60. Inverse scattering problem for systems with anticommuting variables and the massive thirring model
    
    TMF, 44:2 (1980),  189–193
61. Generating operators for integrable nonlinear equations
    
    Zap. Nauchn. Sem. LOMI, 96 (1980),  105–112
62. Solutions of the Yang-Baxter equation
    
    Zap. Nauchn. Sem. LOMI, 95 (1980),  129–160
63. Derivation of the Bäcklund transformation in the formalism of the inverse scattering problem
    
    TMF, 39:1 (1979),  69–74
64. Hierarchy of symplectic forms for the Schrödinger and the Dirac equations on a line
    
    Zap. Nauchn. Sem. LOMI, 77 (1978),  134–147
65. Infrared asymptotics of the Green's function of massive particles in a charge-symmetric model
    
    Zap. Nauchn. Sem. LOMI, 77 (1978),  124–133
66. Infrared divergences of quantized gravitational field
    
    Zap. Nauchn. Sem. LOMI, 77 (1978),  106–123
67. Massive Thirring model with field values in a Grassmann algebra
    
    Zap. Nauchn. Sem. LOMI, 77 (1978),  76–83
68. Conservation laws for a string in a static field
    
    TMF, 33:2 (1977),  272–275
69. Anomalies of quantum currents in exactly solvable models
    
    TMF, 29:2 (1976),  161–170
70. Comparison of the exact quantum and quasiclassical results for a nonlinear Schrödinger equation
    
    TMF, 28:1 (1976),  38–45
71. Factorization of the classical and the quantum $S$-matrix and conservation laws
    
    TMF, 26:2 (1976),  198–205
72. Low-energy structure of the Feynman $S$-matrix
    
    TMF, 21:2 (1974),  183–194
73. Low-energy for photons and infrared divergences
    
    TMF, 18:1 (1974),  51–55
74. Representations of canonical commutation relations in the limit of an infinite volume
    
    TMF, 17:1 (1973),  3–18
75. Asymptotic states of massive particles interacting with the gravitational field
    
    TMF, 6:1 (1971),  28–35
76. Asymptotic conditions and infrared divergences in quantum electrodynamics
    
    TMF, 4:2 (1970),  153–170
77. Inverse scattering problem for the Schroedinger equation on the axis
    
    Mat. Zametki, 4:6 (1968),  677–684


78. Ludvig Dmitrievich Faddeev (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 69:6(420) (2014),  183–191
79. Lyudvig Dmitrievich Faddeev (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 50:3(303) (1995),  171–186