Generating Solutions to Discrete sine-Gordon Equation from Modified Bäcklund Transformation

DOI10.1088/0253-6102/55/4/02zbMath1264.35220OpenAlexW1984659177MaRDI QIDQ4923126

Ying Shi, Xin Kou, Da-jun Zhang, Song-Lin Zhao

Publication date: 5 June 2013

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/55/4/02

zbMATH Keywords

Bäcklund transformationlimit solutiondiscrete sine-Gordon equationsemi-discrete sine-Gordon equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Solutions to the modified Korteweg–de Vries equation ⋮ Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles ⋮ On the differential-difference sine-Gordon equation with an integral type source ⋮ Bright and dark solitons for a discrete (2+1)-dimensional Ablowitz-Ladik equation for the nonlinear optics and Bose-Einstein condensation

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