Multiwave interaction solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

  • Yuxin Qin
  • , Yinping Liu*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

To construct a class of new multiwave interaction solutions for the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation, we calculate different types of interaction solutions among solitons, periodic waves and rational waves using the direct algebraic method together with the inheritance solving skill. Moreover, a new algorithm is proposed with the aid of the simplified Hirota method, the conjugated parameters assignment and long wave limit strategies, from which multiwave interaction solutions among solitons, breathers and lump waves are generated.

Original languageEnglish
Pages (from-to)561-573
Number of pages13
JournalChinese Journal of Physics
Volume71
DOIs
StatePublished - Jun 2021

Keywords

  • Direct algebraic method
  • Interaction solution
  • Kadomtsev-Petviashvili equation
  • Multiwave solution
  • Simplified Hirota method

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