Open AccessA simple fast method in finding the analytical solutions to a class of nonlinear partial differential equations
Author(s) -
Yingchao Xie,
Jinlu Tang
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.2828
Subject(s) - simple (philosophy) , nonlinear system , class (philosophy) , partial differential equation , mathematics , first order partial differential equation , computer science , mathematical analysis , physics , quantum mechanics , philosophy , epistemology , artificial intelligence
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.