论文信息 - Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous: Mathematical Discussions and Its Applications

Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous: Mathematical Discussions and Its Applications

A trial equation method to nonlinear evolution equation with rank inhomogeneous is given. As applications, the exact traveling wave solutions to some higher-order nonlinear equations such as generalized Boussinesq equation, generalized Pochhammer?Chree equation, KdV-Burgers equation, and KS equation and so on, are obtained. Among these, some results are new. The proposed method is based on the idea of reduction of the order of ODE. Some mathematical details of the proposed method are discussed.

Liu Cheng-Shi | Liu Cheng-shi | Cheng-Shi Liu

[1] Xie Fu-ding,et al. Computer Algebra and Solutions to the Karamoto-Sivashinsky Equation , 2005 .

[2] Liu Shi-da,et al. Basic Pattern in Atmospheric Turbulence Model , 2004 .

[3] Zhang Qiren,et al. Lienard Equation and Exact Solutions for Some Soliton-Producing Nonlinear Equations , 2004 .

[4] Liu Shi-da,et al. Notes on Solutions to Burgers-type Equations , 2004 .

[5] Zhao Qiang,et al. A simple fast method in finding particular solutions of some nonlinear PDE , 2001 .

[6] E. J. Parkes,et al. Travelling solitary wave solutions to a compound KdV-Burgers equation , 1997 .