寻找具有三个任意函数的变系数KdV-MKdV方程的类孤波解的新方法  

New Truncated Expansion Method and Soliton-Like Solution of Variable Coefficient KdV-MKdV Equation With Three Arbitrary Functions

作　　者：张解放[1] 刘宇陆[2] 

机构地区：[1]浙江师范大学非线性物理研究所,浙江金华321004 [2]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《应用数学和力学》2003年第11期1114-1117,共4页Applied Mathematics and Mechanics

基　　金：浙江省自然科学基金资助项目(100039)

摘　　要：　给出了求具有三个任意函数的变系数非线性演化方程的类孤波解的截断展开方法·　这种方法的关键是首先把形式解设为几个待定函数的截断展开形式,从而可将变系数非线性演化方程转化为一组待定函数的代数方程,然后进一步给出容易积分的待定函数的常微分方程组。The truncated expansion method for finding explicit and exact soliton_like solution of variable coefficient nonlinear evolution equation was described. The crucial idea of the method was first the assumption that coefficients of the truncated expansion formal solution are functions of time satisfying a set of algebraic equations, and then a set of ordinary different equations of undetermined functions that can be easily integrated were obtained.The simplicity and effectiveness of the method by application to a general variable coefficient KdV_MKdV equation with three arbitrary functions of time is illustrated.

关 键 词：变系数 非线性演化方程 类孤波解 截断展开方法 

分 类 号：O175[理学—数学]