solitary wave solutions of the boussinesq equation and its improved form

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ID: 204934
2013
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Abstract
This paper presents the general case study of previous works on generalized Boussinesq equations, (Abazari, 2011) and (Kılıcman and Abazari, 2012), that focuses on the application of G′/G-expansion method with the aid of Maple to construct more general exact solutions for the coupled Boussinesq equations. In this work, the mentioned method is applied to construct more general exact solutions of Boussinesq equation and improved Boussinesq equation, which the French scientist Joseph Valentin Boussinesq (1842–1929) described in the 1870s model equations for the propagation of long waves on the surface of water with small amplitude. Our work is motivated by the fact that the G′/G-expansion method provides not only more general forms of solutions but also periodic, solitary waves and rational solutions. The method appears to be easier and faster by means of a symbolic computation.
Reference Key
abazari2013mathematicalsolitary Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Reza Abazari;Adem Kılıçman
Journal journal of power sources
Year 2013
DOI
10.1155/2013/468206
URL
http://dx.doi.org/10.1155/2013/468206
Keywords
civil engineering (general)mathematics engineering (general)

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