%0 Journal Article
%T A simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations<br>求一类非线性偏微分方程解析解的一种简洁方法
%A Xie Yuan-Xi
%A Tang Jia-Shi
%A <br>谢元喜
%A 唐驾时
%J 物理学报
%D 2004
%I 
%X 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.
%K nonlinear partial differential equation s
%K trial function
%K method of undetermined coefficient
%K analytical solution<br>非线性偏微分方程
%K 试探函数
%K 待定系数法
%K 解析解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=A74B11C578AC1A48&yid=D0E58B75BFD8E51C&vid=8E6AB9C3EBAAE921&iid=9CF7A0430CBB2DFD&sid=1E2D7708A4B52338&eid=52592567AB946700&journal_id=1000-3290&journal_name=物理学报&referenced_num=31&reference_num=12