Addition formulae, Bäcklund transformations, periodic solutions, and quadrilateral equations

DOI10.1007/s11464-019-0753-0zbMath1414.39006arXiv1801.01321OpenAlexW2963875772MaRDI QIDQ2420756

Da-jun Zhang, Dan-Da Zhang

Publication date: 7 June 2019

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01321

zbMATH Keywords

trigonometric functionselliptic functionsBäcklund transformationaddition formulaequadrilateral equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Partial difference equations (39A14)

Related Items (2)

Two trigonometric function solutions of the mKdV equations ⋮ From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations

Cites Work

• Unnamed Item
• Lax pair for the Adler (lattice Krichever-Novikov) system
• Rational solutions to the ABS list: transformation approach
• Classification of integrable equations on quad-graphs. The consistency approach
• The discrete and continuous Painlevé VI hierarchy and the Garnier systems
• Discrete Systems and Integrability
• Weak Lax pairs for lattice equations
• Multi-Quadratic Quad Equations: Integrable Cases from a Factorized-Discriminant Hypothesis
• Elliptic N-soliton Solutions of ABS Lattice Equations
• Bäcklund transformations for integrable lattice equations
• Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
• On Decomposition of the ABS Lattice Equations and Related Bäcklund Transformations

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