The Homogeneous Balance Method And Nonlinear Partial Differential Equations Of The Solitary Wave Solutions

This paper addresses the derivation of solitary wave solutions for some nonlinear partial differential equations by use of homogenous balanced principle. The solitary wave solutions for nonlinear thermo-elastic system of slender structure are obtained. The typical wave equations such as KdV equations, nonlinear thermal conducting equation and sine-Gordon equation are investigated and more solutions are found. In addition, a computer symbolic system (Maple) is used to find the exact solutions of PDEs in terms of tanh functions.