The (G′/G)-expansion method for the coupled Boussinesq equation

✍ Scribed by Reza Abazari

• Book ID: 104090007
• Publisher: Elsevier
• Year: 2011
• Tongue: English
• Weight: 193 KB
• Volume: 10
• Category: Article
• ISSN: 1877-7058
• DOI: 10.1016/j.proeng.2011.04.473

✦ Synopsis

In this work, the ) / ' ( G G -expansion method with the aid of Maple is applied to construct more general exact solutions of the coupled Boussinesq equations, where the French scientist Joseph Valentin Boussinesq (1842-1929) described in the 1870's model equations for the propagation of long waves on the surface of water with a small amplitude. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions and rational function solutions contain an explicit linear function of the variables in the considered equation. It is shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems.