4.7 Article

CTE method to the interaction solutions of Boussinesq-Burgers equations

Journal

APPLIED MATHEMATICS LETTERS
Volume 38, Issue -, Pages 100-105

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2014.07.014

Keywords

Boussinesq-Burgers equations; Interaction solutions; CTE method; Painleve analysis

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Under investigation in this paper is the Boussinesq-Burgers equations, which describe the propagation of shallow water waves. Via the truncated Painleve 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. (C) 2014 Elsevier Ltd. All rights reserved.

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