几类非线性发展方程的解析解  

Analytical Solutions for Some Nonlinear Evolution Equations

作　　者：胡建兰[1] 张汉林[1] 

机构地区：[1]北京工业大学应用数理学院,北京100022

出　　处：《应用数学和力学》2003年第5期545-550,共6页Applied Mathematics and Mechanics

摘　　要：　研究下列偏微分方程:广义五阶KdV方程,水波方程,Kupershmidt方程,耦合KdV方程·　通过引进一个二阶常微分方程。The following partial differential equations are studied: generalized fifth_order KdV equation,water wave equation, kupershmidt equation,couples KdV equation.The analytical solutions to these problems via using various ansatzes by introducing a second_order ordinary differential equation are found out.

关 键 词：非线性发展方程 ANSATZ方法 解析解 

分 类 号：O175[理学—数学] O241.7[理学—基础数学]