几类非线性方程的精确行波解  

Exact Travelling Wave Solutions of Several Kinds of Nonlinear Equations

作　　者：胡建兰[1] 张汉林[1] 金焕[2] 

机构地区：[1]北京工业大学应用数理学院,北京100022 [2]河南平顶山工学院,河南平顶山467000

出　　处：《北京工业大学学报》2002年第3期317-319,共3页Journal of Beijing University of Technology

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.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.

关 键 词：非线性方程 行波解 秩分析法 Newell-Withehead方程 Convective-Fisher方程 广义Kuramoto-Sivashinski方程 广义BURGERS-FISHER方程 

分 类 号：O175.14[理学—数学] O241.8[理学—基础数学]