One variant of a (2 + 1)-dimensional Volterra system and its (1 + 1)-dimensional reduction

Yingnan Zhang*, Yi He, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A new system is generated from a multi-linear form of a (2+1)-dimensional Volterra system. Though the system is only partially integrable and needs additional conditions to possess two-soliton solutions, its (1+1)-dimensional reduction gives an integrable equation which has been studied via reduction skills. Here, we give this (1+1)-dimensional reduction a simple bilinear form, from which a Bäcklund transformation is derived and the corresponding nonlinear superposition formula is built.

Original languageEnglish
Pages (from-to)1085-1097
Number of pages13
JournalFrontiers of Mathematics in China
Volume8
Issue number5
DOIs
Publication statusPublished - Oct 2013

Scopus Subject Areas

  • Mathematics (miscellaneous)

User-Defined Keywords

  • Bäcklund transformation (BT)
  • Integrability
  • nonlinear superposition formula
  • soliton solution

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