New families of travelling wave solutions for Boussinesq-Burgers equation and (3 + 1)-dimensional Kadomtsev-Petviashvili equation

Liang Gao, Wei Xu, Yaning Tang, Gaofeng Meng

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this Letter, Boussinesq-Burgers equation and (3 + 1)-dimensional Kadomtsev-Petviashvili equation are studied by using a generalized algebraic method. A variety of explicit exact travelling wave solutions, including solitary wave, Jacobi and Weierstrass elliptic function periodic, triangular periodic and rational solutions, are obtained. Many new results are presented. The proposed method can be also extended to construct more new exact travelling wave solutions of some nonlinear evolution equations with variable coefficients in mathematical physics.

Original languageEnglish
Pages (from-to)411-421
Number of pages11
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume366
Issue number4-5
DOIs
StatePublished - 2 Jul 2007

Keywords

  • (3 + 1)-dimensional Kadomtsev-Petviashvili equation
  • Boussinesq-Burgers equation
  • Explicit exact travelling wave solutions
  • Generalized algebraic method

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