Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Igonin, Sergei"'
Autor:
Chistov, Evgeny, Igonin, Sergei
This paper is part of a research project on relations between differential-difference matrix Lax representations (MLRs) with the action of gauge transformations and discrete Miura-type transformations (MTs) for (nonlinear) integrable differential-dif
Externí odkaz:
http://arxiv.org/abs/2410.01474
Autor:
Igonin, Sergei
We study matrix Lax representations (MLRs) for differential-difference (lattice) equations. For a given equation, two MLRs are said to be gauge equivalent if one of them can be obtained from the other by means of a matrix gauge transformation. We pre
Externí odkaz:
http://arxiv.org/abs/2405.08579
Autor:
Igonin, Sergei
Publikováno v:
Partial Differential Equations in Applied Mathematics 11 (2024), 100821
Matrix differential-difference Lax pairs play an essential role in the theory of integrable nonlinear differential-difference equations. We present sufficient conditions which allow one to simplify such a Lax pair by matrix gauge transformations. Fur
Externí odkaz:
http://arxiv.org/abs/2403.12022
Autor:
Igonin, Sergei
Publikováno v:
Theoretical and Mathematical Physics 212 (2022), 1116--1124
This paper is devoted to tetrahedron maps, which are set-theoretical solutions to the Zamolodchikov tetrahedron equation. We construct a family of tetrahedron maps on associative rings. We show that matrix tetrahedron maps presented in [arXiv:2110.05
Externí odkaz:
http://arxiv.org/abs/2203.05552
We present several algebraic and differential-geometric constructions of tetrahedron maps, which are set-theoretical solutions to the Zamolodchikov tetrahedron equation. In particular, we obtain a family of new (nonlinear) polynomial tetrahedron maps
Externí odkaz:
http://arxiv.org/abs/2110.05998
Autor:
Igonin, Sergei, Manno, Gianni
Publikováno v:
Journal of Geometry and Physics 150 (2020), 103596
Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable PDEs. In particular, Lax pairs for (1+1)-dimensional PDEs can be interpreted as ZCRs. In [arXiv:1303.3575], for any (1+1)-dimensional scalar evolution equatio
Externí odkaz:
http://arxiv.org/abs/1810.09280
Autor:
Igonin, Sergei, Manno, Gianni
Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable PDEs. In particular, Lax pairs for $(1+1)$-dimensional PDEs can be interpreted as ZCRs. In [arXiv:1303.3575], for any $(1+1)$-dimensional scalar evolution equ
Externí odkaz:
http://arxiv.org/abs/1804.04652
Autor:
Igonin, Sergei, Manno, Gianni
Zero-curvature representations (ZCRs) are one of the main tools in the theory of integrable $(1+1)$-dimensional PDEs. According to the preprint arXiv:1212.2199, for any given $(1+1)$-dimensional evolution PDE one can define a sequence of Lie algebras
Externí odkaz:
http://arxiv.org/abs/1703.07217
Autor:
Berkeley, George, Igonin, Sergei
Publikováno v:
J. Phys. A: Math. Theor. 49 (2016), 275201
Miura-type transformations (MTs) are an essential tool in the theory of integrable nonlinear partial differential and difference equations. We present a geometric method to construct MTs for differential-difference (lattice) equations from Darboux-La
Externí odkaz:
http://arxiv.org/abs/1512.09123
Autor:
Igonin, Sergei, Manno, Gianni
Publikováno v:
In Journal of Geometry and Physics April 2020 150
