Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhang, Sheng& Chen, Meitong. 2015. Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073617
Modern Language Association (MLA)
Zhang, Sheng& Chen, Meitong. Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1073617
American Medical Association (AMA)
Zhang, Sheng& Chen, Meitong. Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1073617
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073617