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Solitary Wave Solutions of the Benjamin-BonaMahoney-Burgers Equation with Dual Power-Law Nonlinearity

Applied Mathematics & Information Sciences An International Journal • 2017
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Publication Information
Authors Mostafa M A Khater - Dianchen Lu - Emad H.M. Zahran
Keywords The extended tanh function method; The Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity; Traveling wave solutions; Solitary wave solutions.
Journal Applied Mathematics & Information Sciences An International Journal
Publisher Natural Sciences Publishing Cor.
Volume 11
Issue 5
Pages 1-5
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
In this paper, we employ the extended tanh function method to find the exact traveling wave solutions and solitary wave solutions involving parameters of the Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. These studies reveal that the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-law nonlinearity has a rich variety of solutions.