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New exact solutions for some nonlinear differential equations using symbolic computation

โœ Scribed by Yong Chen; Xuedong Zheng; Biao Li; Hongqing Zhang


Book ID
108395807
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
503 KB
Volume
149
Category
Article
ISSN
0096-3003

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Fu-Ding Xie; Ming Li; Yong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 310 KB

In this paper, we present a solution method that utilizes symbolic computation to obtain exact traveling wave solutions of some systems of nonlinear partial differential equations. The solution method is demonstrated by obtaining solutions to the variant shallow water wave equations.

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โœ En-Gui Fan ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 619 KB

## In this paper, a direct and unified algorithm for constructing multiple travelling wave solutions of nonlinear partial differential equations (PDBs) is presented and implemented in a computer algebraic system. The key idea of this method is to take full advantage of a Riccati equation involving