Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

DOI10.1063/1.533071zbMath1063.37564OpenAlexW2082008331MaRDI QIDQ4498494

Xing-Biao Hu, Wen-Xiu Ma, Yong-Tang Wu, Si-Ming Zhu

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533071

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

Explicit solutions and conservation laws of the logarithmic-KP equation ⋮ New solitary wave solutions for two nonlinear evolution equations ⋮ Interacting waves of Davey-Stewartson III system ⋮ Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices ⋮ Lax Pair, Binary Darboux Transformation and New Grammian Solutions of Nonisospectral Kadomtsev–Petviashvili Equation with the Two-Singular-Manifold Method ⋮ Soliton elastic interactions and dynamical analysis of a reduced integrable nonlinear Schrödinger system on a triangular-lattice ribbon ⋮ CONSTRUCTING 2N-SOLITON PERIODIC WAVE SOLUTIONS FOR GENERALIZED DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION ⋮ Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice ⋮ ADM-Padé technique for the nonlinear lattice equations ⋮ Soliton solutions and Bäcklund transformation for the Kupershmidt five-field lattice: A bilinear approach

Cites Work

• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• Nonlinear superposition formulae for the differential-difference analogue of the KdV equation and two-dimensional Toda equation
• R-matrix approach to lattice integrable systems
• Some new results on the Blaszak–Marciniak lattice: Bäcklund transformation and nonlinear superposition formula
• Hirota bilinear approach to a new integrable differential-difference system
• A Bäcklund transformation and nonlinear superposition formula for the Belov-Chaltikian lattice
• A new integrable symplectic map associated with lattice soliton equations

This page was built for publication: Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice