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广义KDV-MKDV方程的精确解
引用本文:刘法贵,魏凯. 广义KDV-MKDV方程的精确解[J]. 华北水利水电学院学报(社会科学版), 2009, 25(5): 98-99
作者姓名:刘法贵  魏凯
作者单位:华北水利水电学院,河南郑州450011
基金项目:国家自然科学基金项目(10571024)
摘    要:利用直接积分方法将广义KDV-MKDV方程化为一阶变系数非线性常微分方程组,然后用待定系数法确定相应的常数获得了广义KDV-MKDV方程新的精确解;利用先作假设变换后选取试探函数的方法来直接构造广义KDV-MKDV方程新的精确解.

关 键 词:广义KDV-MKDV方程  精确解  直接积分法  试探函数法

Exact Solution for Wide KDV-MKDV Equation
LIU Fa-gui,WEI Kai. Exact Solution for Wide KDV-MKDV Equation[J]. Journal of North China Institute of Water Conservancy and Hydroelectric Power(Social Sciences Edition), 2009, 25(5): 98-99
Authors:LIU Fa-gui  WEI Kai
Affiliation:(North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China)
Abstract:Using direct integration method generalized KDV-MKDV equation was converted the equation into a first-order nonlinear ordinary differential equation,then some new exact solutions were got using undetermined coefficient method,the exact solutiobns were also got using the method that,the assumption transformation was firstly done,then trial function was selected.The result by making the assumption that the use of trial function.
Keywords:generalized KDV-MKDV equation  exact solution  direct integral method  trial function method
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