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中国物理学会期刊

求一类非线性偏微分方程解析解的一种简洁方法

CSTR: 32037.14.aps.53.2828

A simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations

CSTR: 32037.14.aps.53.2828
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  • 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.

     

    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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