Some Recent Results on Integrable Bilinear Equations

DOI10.2991/jnmp.2001.8.s.26zbMath0981.37032OpenAlexW4247825439MaRDI QIDQ2732472

Hon-Wah Tam, Xing-Biao Hu

Publication date: 23 July 2001

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.26

zbMATH Keywords

integrable latticescoupled bilinear differential-difference equationscoupled bilinear equations

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60)

Related Items

An Integrable Coupled Toda Equation And Its Related Equation Via Hirota's Bilinear Approach, Lax pairs and conservation laws for two differential-difference systems, Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations

Cites Work

• Lattice analogues of \(W\)-algebras and classical integrable equations
• Relativistic Toda systems
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• New integrable differential-difference systems
• Bäcklund transformation and nonlinear superposition formula of an extended Lotka - Volterra equation
• A new integrable differential-difference system and its explicit solutions
• 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