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The new travelling wave solutions for a class of nonlinear partial differential equations 459-469 2013, Volume 43, Issue Number: 13 |
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Accession number: 20134016797544 Title: The new travelling wave solutions for a class of nonlinear partial differential equations Authors: Ma, Zhimin1 ; Sun, Yuhui2 Author affiliation: 1Engineering and technical College, Chengdu Uinversity of Technology, 614000,Leshan, China 2Department of Mathematics, Sichuan Normal University, 610066 Chengdu, China Corresponding author: Ma, Z. (mazhimin9162@163.com) Source title: International Journal of Applied Mathematics and Statistics Abbreviated source title: Int. J. Appl. Math. Stat. Volume: 43 Issue: 13 Issue date: 2013 Publication year: 2013 Pages: 459-469 Language: English ISSN: 09731377 E-ISSN: 09737545 Document type: Journal article (JA) Publisher: CESER Publications, Post Box No. 113, Roorkee, 247667, India Abstract: In this paper, the new expansion method is brief described to solve nonlinear partial differential equations(NPDEs). By the aid of symbolic computation system, we choose utt + auxx + bu + cu3 = 0 which includes f4 equation,Klein-Gordon equation,Duffing equation, Landan-Ginburg-Higgs equation and Sine-Gordon equation to illustrate the validity and advantages of this method.As a result, many new travelling wave solutions are obtained. © 2013 by CESER Publications. Number of references: 16 Main heading: Partial differential equations Controlled terms: Equations of motion - Nonlinear equations - Riccati equations - Solitons - Wave transmission Uncontrolled terms: Duffing equations - Expansion methods - Klein-Gordon equation - Nonlinear partial differential equations - Soli-tary wave solutions - Symbolic computation - Travelling wave solution Classification code: 711 Electromagnetic Waves - 921.1 Algebra - 921.2 Calculus Database: Compendex Compilation and indexing terms, © 2013 Elsevier Inc. |
2楼2013-10-18 10:10:40