Hirota bilinear approach to a new integrable differential-difference system

DOI10.1063/1.532846zbMath0944.35101OpenAlexW2083498778MaRDI QIDQ4701832

Xing-Biao Hu, Xiangguo Geng, Yong-Tang Wu

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532846

zbMATH Keywords

soliton solutionsbilinear formBäcklund transformationmultilinear form

Mathematics Subject Classification ID

Related Items (7)

Generalized Wronskian Solutions to Differential-Difference KP Equation ⋮ N-fold Darboux transformation and soliton solutions for Toda lattice equation ⋮ THE DOUBLE WRONSKIAN SOLUTIONS TO THE KADOMTSET–PETVIASHVILI EQUATION ⋮ Darboux transformation and conservation laws of a integrable evolution equations with \(3 \times 3\) Lax pairs ⋮ Some Recent Results on Integrable Bilinear Equations ⋮ \(N\)-soliton solutions for a \((2+1)\)-dimensional breaking soliton equation with self-consistent sources ⋮ Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

Cites Work

• Lattice analogues of \(W\)-algebras and classical integrable equations
• Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• 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
• A Bäcklund transformation and nonlinear superposition formula for the Belov-Chaltikian lattice

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