On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources

Ye Peng Sun*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

1 Citation (Scopus)

Abstract

A new procedure called 'source generation' is applied to construct non-isospectral soliton equations with self-consistent sources. As results, the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources (KPESCS) and its Gramm-type determinant solutions are obtained. Furthermore, the non-isospectral Pfaffianized-KP equation with self-consistent sources is constructed. This coupled system can not only be reduced to the non-isospectral Pfaffianized-KP equation, but also reduced to the non-isospectral KPESCS.

Original languageEnglish
Pages (from-to)1610-1619
Number of pages10
JournalNonlinear Analysis, Theory, Methods and Applications
Volume70
Issue number4
DOIs
Publication statusPublished - 15 Feb 2009

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

  • Grammian determinant solution
  • Non-isospectral KP equation
  • Pfaffianization
  • Self-consistent sources
  • Source generation procedure

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