Results 21 to 30 of about 3,281 (260)

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
doaj   +1 more source

Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws

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
doaj   +1 more source

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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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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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, Susanne Reffert, Yuta Sekiguchi, Kentaroh Yoshida   +3 more
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The Lax pair for the fermionic Bazhanov-Stroganov R-operator

Physics Letters B, 2021
We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator. It results in the Yang-Baxter and decorated Yang-Baxter equations of difference type in one of the spectral parameters, which is the most suitable form to obtain
A. Melikyan, G. Weber
openaire   +3 more sources

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
doaj   +1 more source

N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions

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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Time-like boundary conditions in the NLS model

Nuclear Physics B, 2019
We focus on the non-linear Schrödinger model and we extend the notion of space-time dualities in the presence of integrable time-like boundary conditions.
Anastasia Doikou, Iain Findlay, Spyridoula Sklaveniti   +2 more
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