A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws

DOI10.1016/j.chaos.2005.11.086zbMath1144.37452OpenAlexW2084410783MaRDI QIDQ936766

Xi-Xiang Xu, Ye-Peng Sun, Hai-Yong Ding

Publication date: 19 August 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.11.086

zbMATH Keywords

discrete spectral problemdiscrete zero curvature representationcompletely integrable in the Liouville sense

Mathematics Subject Classification ID

Related Items (6)

Constructing nonlinear discrete integrable Hamiltonian couplings ⋮ Variational identities and applications to Hamiltonian structures of soliton equations ⋮ Variational approach to solitary wave solution of the generalized Zakharov equation ⋮ Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz–Ladik Hierarchy ⋮ VARIABLE SEPARATION AND ALGEBRAIC-GEOMETRIC SOLUTIONS OF MODIFIED TODA LATTICE EQUATION ⋮ The applications of a higher-dimensional Lie algebra and its decomposed subalgebras

Cites Work

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• Nonlinear differential–difference equations and Fourier analysis
• R-matrix approach to lattice integrable systems
• Hamiltonian structure of discrete soliton systems
• Integrable semi-discretization of the coupled modified KdV equations
• Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices

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