Results 21 to 30 of about 52,586 (291)
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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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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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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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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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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O(d,d) transformations preserve classical integrability
Nuclear Physics B, 2020 In this note, we study the action of O(d,d) transformations on the integrable structure of two-dimensional non-linear sigma models via the doubled formalism.
Domenico Orlando +3 more
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Symmetry Reductions of (2 + 1)-Dimensional CDGKS Equation and Its Reduced Lax Pairs
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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Mathematics, 2021 In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given.
Yu-Shan Bai, Peng-Xiang Su, Wen-Xiu Ma
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Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs [PDF]
, 2014 Integrable self-adaptive moving mesh schemes for short pulse type equations (the short pulse equation, the coupled short pulse equation, and the complex short pulse equation) are investigated.
Feng, Bao-Feng +2 more
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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.
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