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The Homogeneous Balance Method And Nonlinear Partial Differential Equations Of The Solitary Wave Solutions

Posted on:2009-11-17Degree:MasterType:Thesis
Country:ChinaCandidate:P P YangFull Text:PDF
GTID:2190360245978839Subject:Basic mathematics
Abstract/Summary:
This paper addresses the derivation of solitary wave solutions for some nonlinear partial differential equations by use of homogenous balanced principle. The solitary wave solutions for nonlinear thermo-elastic system of slender structure are obtained. The typical wave equations such as KdV equations, nonlinear thermal conducting equation and sine-Gordon equation are investigated and more solutions are found. In addition, a computer symbolic system (Maple) is used to find the exact solutions of PDEs in terms of tanh functions.
Keywords/Search Tags:Homogenous balanced principle, Solitary wave solution, tanh function, Maple
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