Grammian solutions and pfaffianization of a non-isospectral and variable-coefficient Kadomtsev-Petviashvili equation

Ye Peng Sun*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In this paper, we first present the Grammian determinant solutions to the non-isospectral and variable-coefficient Kadomtsev-Petviashvili (vcKP) equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new non-isospectral and variable-coefficient integrable coupled system is generated. Moreover, Gramm-type pfaffian solutions of the pfaffianized system are proposed.

Original languageEnglish
Pages (from-to)810-817
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Volume343
Issue number2
DOIs
Publication statusPublished - 15 Jul 2008

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

  • Grammian determinant solution
  • Non-isospectral vcKP equation
  • Pfaffianization

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