Journal
CHAOS SOLITONS & FRACTALS
Volume 42, Issue 3, Pages 1356-1363Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2009.03.043
Keywords
-
Categories
Funding
- Established Researcher Grant
- University of South Florida
- Ministry of Education of China
- Wang Kuancheng Foundation
- Zhejiang Normal University
- Academia Sinica in Taipei
Ask authors/readers for more resources
A direct approach to exact solutions of nonlinear partial differential equations is proposed. by using rational function transformations. The new method provides a more systematical and convenient handling of the solution process of nonlinear equations, unifying the tanh-function type methods, the homogeneous balance method, the exp-function method, the mapping method, and the F-expansion type methods. Its key point is to search for rational solutions to variable-coefficient ordinary differential equations transformed from given partial differential equations. As an application, the construction problem of exact solutions to the 3 + 1 dimensional Jimbo-Miwa equation is treated, together with a Backlund transformation. (C) 2009 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available