Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics

Wenying Cui, Yinping Liu, Zhibin Li

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, a (3 + 1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation is investigated and its various new interaction solutions among solitons, rational waves and periodic waves are obtained by the direct algebraic method, together with the inheritance solving technique. The results are fantastic interaction phenomena, and are shown by figures. Meanwhile, any higher order interaction solutions among solitons, breathers, and lump waves are constructed by an N-soliton decomposition algorithm developed by us. These innovative results greatly enrich the structure of the solutions of this equation.

Original languageEnglish
Pages (from-to)2217-2235
Number of pages19
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume24
Issue number6
DOIs
StatePublished - 1 Oct 2023

Keywords

  • (3 + 1)-dimensional BKP equation
  • N-soliton decomposition algorithm
  • inheritance solving
  • multiwave interaction solutions
  • the direct algebraic method

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