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- Title
Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation.
- Authors
Zhang, Sheng; Chen, Meitong
- Abstract
The Painlevé integrability of the (4+1)-dimensional Fokas equation is verified by the WTC method of Painlevé analysis combined with a new and more general transformation. By virtue of the truncated Painlevé expansion, two new exact solutions with arbitrary differentiable functions are obtained. Thanks to the arbitrariness of the included functions, the obtained exact solutions not only possess rich spatial structures but also help to bring about two-wave solutions and three-wave solutions. It is shown that the transformation adopted in this work plays a key role in testing the Painlevé integrability and constructing the exact solutions of the Fokas equation.
- Subjects
DIFFERENTIAL equations; MATHEMATICAL transformations; DIFFERENTIABLE functions; MATHEMATICAL functions; WAVE functions
- Publication
Mathematical Problems in Engineering, 2015, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2015/367425