A new mapping method and its applications to nonlinear partial differential equations

In this Letter, a new mapping method is proposed for constructing more exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the ( 2 + 1 ) -dimensional Konopelchenko–Dubrovsky equation and the ( 2 + 1 ) -dimensional KdV equations to illustrate t...

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Bibliographic Details
Published in:Physics letters. A 2008-10, Vol.372 (44), p.6602-6607
Main Authors: Zeng, Xin, Yong, Xuelin
Format: Article
Language:English
Subjects:
Exact solutions
Mapping method
Nonlinear partial differential equations
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Summary:In this Letter, a new mapping method is proposed for constructing more exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the ( 2 + 1 ) -dimensional Konopelchenko–Dubrovsky equation and the ( 2 + 1 ) -dimensional KdV equations to illustrate the validity and advantages of the method. As a result, many new and more general exact solutions are obtained.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2008.09.025