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求一类非线性偏微分方程解析解的一种简洁方法
引用本文:谢元喜,唐驾时.求一类非线性偏微分方程解析解的一种简洁方法[J].物理学报,2004,53(9):2828-2830.
作者姓名:谢元喜  唐驾时
作者单位:湖南大学工程力学系,长沙 410082
基金项目:湖南省自然科学基金(批准号:01JJY2007)资助的课题.
摘    要:通过引入一个变换和选准试探函数,进行求偏导数运算,将非线性偏微分方程化为代数方程,然后用待定系数法确定相应的常数,最后得到其解析 解.不难看出,这种方法特别简洁. 关键词: 非线性偏微分方程 试探函数 待定系数法 解析解

关 键 词:非线性偏微分方程  试探函数  待定系数法  解析解
文章编号:1000-3290/2004/53(09)/2828-03
收稿时间:2003-11-13

A simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations
Xie Yuan-Xi and Tang Jia-Shi.A simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations[J].Acta Physica Sinica,2004,53(9):2828-2830.
Authors:Xie Yuan-Xi and Tang Jia-Shi
Abstract:By introducing,a new transformation and selecting appropriate trial functions ,nonlinear partial diff erential equations can be converted to algebraic equations,and their related coe f ficients can be easily determined by making use of the method of undetermined coefficients. Finally,the analytical solutions to a class of nonlinear partial di fferential equations are successfully derived. One can easily see that this meth od used herein is particularly simple.
Keywords:nonlinear partial differential equation s  trial function  method of undetermined coefficient  analytical solution
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