Trial Equation Method to Nonlinear Evolution Equations with Rank Inhomogeneous: Mathematical Discussions and Its Applications
Open Access
- 15 February 2006
- journal article
- Published by IOP Publishing in Communications in Theoretical Physics
- Vol. 45 (2), 219-223
- https://doi.org/10.1088/0253-6102/45/2/005
Abstract
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.Keywords
This publication has 8 references indexed in Scilit:
- Computer Algebra and Solutions to the Karamoto–Sivashinsky EquationCommunications in Theoretical Physics, 2005
- Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficientsActa Physica Sinica, 2005
- Trial equation method and its applications to nonlinear evolution equationsActa Physica Sinica, 2005
- Lienard Equation and Exact Solutions for Some Soliton-Producing Nonlinear EquationsCommunications in Theoretical Physics, 2004
- Basic Pattern in Atmospheric Turbulence ModelCommunications in Theoretical Physics, 2004
- Notes on Solutions to Burgers-type EquationsCommunications in Theoretical Physics, 2004
- A Simple Fast Method in Finding Particular Solutions of Some Nonlinear PDEApplied Mathematics and Mechanics, 2001
- Travelling solitary wave solutions to a compound KdV-Burgers equationPhysics Letters A, 1997