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物理学报  2004 

A simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations
求一类非线性偏微分方程解析解的一种简洁方法

Keywords: nonlinear partial differential equation s,trial function,method of undetermined coefficient,analytical solution
非线性偏微分方程
,试探函数,待定系数法,解析解

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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.

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