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CTE method to the interaction solutions of Boussinesq–Burgers equations

Authors
Journal
Applied Mathematics Letters
0893-9659
Publisher
Elsevier
Identifiers
DOI: 10.1016/j.aml.2014.07.014
Keywords
  • Boussinesq–Burgers Equations
  • Interaction Solutions
  • Cte Method
  • Painlevé Analysis

Abstract

Abstract Under investigation in this paper is the Boussinesq–Burgers equations, which describe the propagation of shallow water waves. Via the truncated Painlevé analysis and the consistent tanh expansion (CTE) method, some exact interaction solutions among different nonlinear excitations such as multiple resonant soliton solutions, soliton–error function waves, soliton–periodic waves, soliton–rational waves, and soliton–potential Burgers waves are explicitly given.

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