Symmetries of the DΔmKP hierarchy and their continuum limits
J Liu, D Zhang, X Zhao - Studies in Applied Mathematics, 2024 - Wiley Online Library
In the recent paper [Stud. App. Math. 147 (2021), 752], squared eigenfunction symmetry
constraint of the differential‐difference modified Kadomtsev–Petviashvili (DΔmKP) hierarchy …
constraint of the differential‐difference modified Kadomtsev–Petviashvili (DΔmKP) hierarchy …
Symmetry constraint of the differential-difference KP hierarchy and a second discretization of the ZS-AKNS system
K Chen, X Deng, D Zhang - Journal of Nonlinear Mathematical …, 2017 - Taylor & Francis
In this paper we construct a squared-eigenfunction symmetry of the scalar differential-
difference KP hierarchy. Through a constraint of the symmetry, Lax triad of the differential …
difference KP hierarchy. Through a constraint of the symmetry, Lax triad of the differential …
Coupled Ablowitz–Ladik equations with branched dispersion
CN Babalic, AS Carstea - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
Integrability and multisoliton solutions are discussed for a multicomponent Ablowitz–Ladik
system with branched dispersion relation. It is also shown that starting from a'diagonal'(in …
system with branched dispersion relation. It is also shown that starting from a'diagonal'(in …
Asymptotic analysis of high‐order solitons of an equivalent Kundu–Eckhaus equation
XW Yan, Y Chen - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
In this work, we study the asymptotic characteristics of high‐order solitons for the focusing
Kundu–Eckhaus (KE) equation. Based on the loop group theory, we construct the general …
Kundu–Eckhaus (KE) equation. Based on the loop group theory, we construct the general …
The (2+ 1)‐dimensional Schwarzian Korteweg–de Vries equation and its generalizations with discrete Lax matrices
W Liu, C Cao, X Yang, X Xu - Mathematical Methods in the …, 2024 - Wiley Online Library
By using the discrete Lax matrices corresponding to Q 1 (0) Q1 (0) and Q 1 (δ) Q1\left
(δ\right) in the Adler–Bobenko–Suris list of quadrilateral lattice equations, we establish …
(δ\right) in the Adler–Bobenko–Suris list of quadrilateral lattice equations, we establish …
Bilinearization-reduction approach to the classical and nonlocal semi-discrete modified Korteweg-de Vries equations with nonzero backgrounds
X Deng, H Chen, SL Zhao, G Ren - arXiv preprint arXiv:2409.06168, 2024 - arxiv.org
Quasi double Casoratian solutions are derived for a bilinear system reformulated from the
coupled semi-discrete modified Korteweg-de Vries equations with nonzero backgrounds …
coupled semi-discrete modified Korteweg-de Vries equations with nonzero backgrounds …
[HTML][HTML] New semi-discrete AKNS hierarchy and its reductions
S Chen, X Zhong - Partial Differential Equations in Applied Mathematics, 2022 - Elsevier
In the paper we consider the new semi-discrete Ablowitz–Kaup–Newell–Segur (sdAKNS)
hierarchies and their reduction cases. In terms of a new linear combination of the two …
hierarchies and their reduction cases. In terms of a new linear combination of the two …
[图书][B] Journal of Nonlinear Mathematical Physics
N Euler - 2017 - books.google.com
Journal of Nonlinear Mathematical Physics Page 1 Journalo f Nonline a Mathem ysics vol. 13
numbers 1-4, 2006 issn 1402-9251 Editor-in-Chief Prof. N. Euler, Luleå University of Technology …
numbers 1-4, 2006 issn 1402-9251 Editor-in-Chief Prof. N. Euler, Luleå University of Technology …