The Hirota-Satsuma coupled KdV equation and a coupled Ito system revisited

Hon Wah TAM*, Wen Xiu Ma, Xing Biao Hu, Dao Liu Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

107 Citations (Scopus)

Abstract

The well-known Hirota-Satsuma coupled KdV equation and a coupled Ito system are reviewed. A new type of soliton solutions to these two systems under constant boundary condition at infinity is found. The so-called generalized Hirota-Satsuma coupled KdV system is also considered. Starting from its bilinear forms, we obtain a Bäcklund transformation and the corresponding nonlinear superposition formulae. As a result, soliton solutions first obtained by Satsuma and Hirota can be rederived. Moreover, rational solutions are also given.

Original languageEnglish
Pages (from-to)45-52
Number of pages8
JournalJournal of the Physical Society of Japan
Volume69
Issue number1
DOIs
Publication statusPublished - Jan 2000

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

  • Bäcklund transformation
  • Hirota's method
  • Integrable systems
  • Solitons

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