Results 11 to 20 of about 603,795 (280)
Lax pairs for integrable lattice systems [PDF]
Journal of Mathematical Physics, 1999 This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating examples of such systems, and emphasizes the features that are needed to obtain equations which are local on the spatial lattice.
R. S. Ward, Ward, R.
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A Completeness Study on Certain 2×2 Lax Pairs Including Zero Terms [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We expand the completeness study instigated in [J. Math. Phys. 50 (2009), 103516, 29 pages] which found all 2×2 Lax pairs with non-zero, separable terms in each entry of each Lax matrix, along with the most general nonlinear systems that can be ...
Mike C. Hay
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Constraint and Nonlinearization of Supersymmetric Equations with Some Special Forms of Lax Pairs
Advances in Mathematical Physics, 2020 We study the null boundary problems of some classical evolution equations constrained by some special forms of Lax pairs. Furthermore, we present the constraint and nonlinearization of some supersymmetric (SUSY) equations with a special form of Lax pairs
Hongmin Li
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Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs [PDF]
Journal of Applied Mathematics, 2014 With the aid of symbolic computation, we obtain the symmetry transformations of the (2 + 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada (CDGKS) equation by Lou’s direct method which is based on Lax pairs. Moreover, we use the classical Lie group method
Na Lv, Xuegang Yuan, Jinzhi Wang
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R-matrix-valued Lax pairs and long-range spin chains
Physics Letters B, 2018 In this paper we discuss R-matrix-valued Lax pairs for slN Calogero–Moser model and their relation to integrable quantum long-range spin chains of the Haldane–Shastry–Inozemtsev type.
I. Sechin, A. Zotov
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Lax pairs for deformed Minkowski spacetimes [PDF]
Journal of High Energy Physics, 2016 We proceed to study Yang-Baxter deformations of 4D Minkowski spacetime based on a conformal embedding. We first revisit a Melvin background and argue a Lax pair by adopting a simple replacement law invented in 1509.00173. This argument enables us to deduce a general expression of Lax pair.
Kyono, Hideki +2 more
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Kadomtsev–Petviashvili Hierarchy: Negative Times
Mathematics, 2021 The Kadomtsev–Petviashvili equation is known to be the leading term of a semi-infinite hierarchy of integrable equations with evolutions given by times with positive numbers. Here, we introduce new hierarchy directed to negative numbers of times.
Andrei K. Pogrebkov
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Journal of High Energy Physics, 2023 Utilizing some conservation laws of (1+1)-dimensional integrable local evolution systems, it is conjectured that higher dimensional integrable equations may be regularly constructed by a deformation algorithm.
S. Y. Lou, Xia-zhi Hao, Man Jia
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Lax pairs for new ZN-symmetric coset σ-models and their Yang-Baxter deformations
Nuclear Physics B, 2022 Two-dimensional σ-models with ZN-symmetric homogeneous target spaces have been shown to be classically integrable when introducing WZ-terms in a particular way. This article continues the search for new models of this type now allowing some kinetic terms
David Osten
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Lax pairs on Yang-Baxter deformed backgrounds [PDF]
, 2015 We explicitly derive Lax pairs for string theories on Yang-Baxter deformed backgrounds, 1) gravity duals for noncommutative gauge theories, 2) γ-deformations of S[5], 3) Schrödinger spacetimes and 4) abelian twists of the global AdS[5].
Kameyama, Takashi +7 more
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