New explicit solitary wave solutions for (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation

  • Yong Chen*
  • , Zhenya Yan
  • , Honging Zhang
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

145 Scopus citations

Abstract

In this Letter, we study (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.

Original languageEnglish
Pages (from-to)107-113
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume307
Issue number2-3
DOIs
StatePublished - 27 Jan 2003
Externally publishedYes

Keywords

  • Boussinesq equation
  • HBM
  • KP equation
  • Periodic wave solution
  • Riccati equation
  • Solitary wave solution

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