A special integrable differential-difference equation and its related systems: Bilinear forms soliton solutions and Lax pairs

Hon Wah Tam*, Xing Biao Hu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

11 Citations (Scopus)

Abstract

In this paper, a special integrable differential-difference equation and its related systems are studied. First of all, by using dependent variable transformations, this special lattice is transformed into two bilinear forms. As a result, the corresponding soliton solutions are obtained. A coupled set of bilinear equations is proposed and related to the same special lattice in a certain way. We also derive the C-flow and z-flow of the coupled bilinear equations. Lax pairs for the t-flow and the z-flow are given. Furthermore, a bilinear Bäcklund transformation and the corresponding nonlinear superposition formula for the coupled bilinear equations are presented. Soliton solutions to the coupled bilinear equations are derived.

Original languageEnglish
Pages (from-to)265-272
Number of pages8
JournalJournal of the Physical Society of Japan
Volume72
Issue number2
DOIs
Publication statusPublished - Feb 2003

Scopus Subject Areas

  • General Physics and Astronomy

User-Defined Keywords

  • Integrable lattices
  • Lax pairs
  • Soliton solutions

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