几类非线性方程的精确行波解

详细信息

Exact Travelling Wave Solutions of Several Kinds of Nonlinear Equations

1. College of Applied Sciences, Beijing Polytechnic University, Beijing 100022, China;
2. Department of Applied Mathematics, Pingdingshan college of Technology, Pingdingshan, Henan 467000, China

摘要: 利用秩分析法以及一种特殊的假设,对Newell-Withehead方程、广义Kuramoto—Sivashinski方程、广义Burgers-Fisher方程、Convechve-Fisher方程的行波解进行了讨论,得到了上述方程具有双曲正切及双曲正切的幂次形式的解析解.
- 非线性方程 /
- 行波解 /
- 秩分析法
Abstract: By using rank analysis technique and a specical hypothesis, the traveling wave solutions to Newell-Winthehead equation, generalized Kuramoto-Sivashinski equation, generalized Burgers-Fisher equation and convective Fisher equation are discussed. The explicit solutions of the above mentioned equations with the form of hyperbolic functions sech and tanh are obtained.
- nonlinear equation /
- travelling wave solution /
- rank analysis method

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