New type of nonisospectral KP equation with self-consistent sources and its bilinear bäcklund transformation

Ye Peng Sun*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear Bäcklund transformation.

Original languageEnglish
Pages (from-to)323-336
Number of pages14
JournalJournal of Nonlinear Mathematical Physics
Volume18
Issue number2
DOIs
Publication statusPublished - Jun 2011

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

User-Defined Keywords

  • Bäcklund transformation
  • Nonisospectral KP equation
  • soliton solution
  • source generation procedure

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