An Integrable Discretization of a 2+1‐dimensional Sine‐Gordon Equation

DOI10.1111/1467-9590.00079zbMath1020.35087OpenAlexW2092400014MaRDI QIDQ4784631

Jonathan J. C. Nimmo, Wolfgang K. Schief

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00079

zbMATH Keywords

trigonometric functionssuperposition principleeigenfunction equationBäcklund equationscomplex discrete BKP equationconstrained Moutard transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

Properties of the non-autonomous lattice sine-Gordon equation: consistency around a broken cube property ⋮ Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ Classification of three-dimensional integrable scalar discrete equations ⋮ Reduction of quad-equations consistent around a cuboctahedron I: Additive case ⋮ New kink-shaped solutions and periodic wave solutions for the \((2+1)\)-dimensional sine-Gordon equation ⋮ New \((2 + 1)\)-dimensional sine-Gordon equation with self-consistent sources derived by the nonlinear variable separation method

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