From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations-Reference-Cited by-同舟云学术

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From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations

Published:2021-09-23 Issue:4 Volume:24 Page:
ISSN:1385-0172
Container-title:Mathematical Physics, Analysis and Geometry
language:en
Short-container-title:Math Phys Anal Geom

Author:

Zhang Dan-da^ORCID,Zhang Da-jun^ORCID,van der Kamp Peter H.^ORCID

Funder

National Science Foundation of China

science, technology and innovation plan of shanghai

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Mathematical Physics

Link

https://link.springer.com/content/pdf/10.1007/s11040-021-09406-1.pdf

Reference34 articles.

1. Adler, V.E., Bobenko, A.I., Suris, Y.B.: Classification of integrable equations on quad-graphs, the consistency approach. Commun. Math. Phys. 233, 513–543 (2003)

2. Adler, V.E., Bobenko, A.I., Suris, Y.B.: Discrete nonlinear hyperbolic equations. Classification of integrable cases. Funct. Anal. Appl. 43, 3–17 (2009)

3. Adler, V.E., Startsev, S.Y.: Discrete analogues of the Liouville equation. Theor. Math. Phys. 121(2), 1484–1495 (1999)

4. Atkinson, J.: Bäcklund transformations for integrable lattice equations. J. Phys. A: Math. Theor. 41(8pp), 135202 (2008)

5. Atkinson, J., Nieszporski, M.: Multi-quadratic quad equations: integrable cases from a factorized-discriminant hypothesis. Int. Math. Res. Not. 2014, 4215–4240 (2014)

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1. Cauchy matrix approach for H1^a equation in the torqued Adler–Bobenko–Suris lattice list;Communications in Theoretical Physics;2024-07-31

2. Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation;Communications in Theoretical Physics;2024-02-01

3. Investigate the dynamic nature of soliton solutions and bifurcation analysis to a new generalized two-dimensional nonlinear wave equation with its stability;Results in Physics;2023-10

4. ON A SPECIAL COUPLED LATTICE SYSTEM OF THE DISCRETE BOUSSINESQ TYPE;Reports on Mathematical Physics;2023-04

5. Integrability and solutions for a fourth-order lattice Gel’fand–Dikii equation;Applied Mathematics Letters;2023-01

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