Exact Solutions to Some Nonlinear Partial Differential Equations in Mathematical Physics Via the (G′/G) -Expansion Method

摘要

The (G'/G)-expansion method is a powerful tool for the direct analysis of contender nonlinear equations. In this study, we search new exact traveling wave solutions to some nonlinear partial differential equations, such as, the Kuramoto-Sivashinsky equation, the Kawahara equation and the Carleman equations by means of the (G'/G)-expansion method which are very significant in mathematical physics. The solutions are presented in terms of the hyperbolic and the trigonometric functions involving free parameters. It is shown that the novel (G'/G)-expansion method is a competent and influential tool in solving nonlinear partial differential equations in mathematical physics.