Solutions and Painlevé Property for the KdV Equation with Self-Consistent Source
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-25
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this paper, the polynomial solutions in terms of Jacobi’s elliptic functions of the KdV equation with a self-consistent source (KdV-SCS) are presented.
The extended (G′/G)-expansion method is utilized to obtain exact traveling wave solutions of the KdV-SCS, which finally are expressed in terms of the hyperbolic function, the trigonometric function, and the rational function.
Meanwhile we find the Lie point symmetry and Lie symmetry group and give several group-invariant solutions for the KdV-SCS.
Finally, we supplement the results of the Painlevé property in our previous work and get the Bäcklund transformations of the KdV-SCS.
American Psychological Association (APA)
Shen, Yali& Yao, Ruoxia. 2018. Solutions and Painlevé Property for the KdV Equation with Self-Consistent Source. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1207252
Modern Language Association (MLA)
Shen, Yali& Yao, Ruoxia. Solutions and Painlevé Property for the KdV Equation with Self-Consistent Source. Mathematical Problems in Engineering No. 2018 (2018), pp.1-16.
https://search.emarefa.net/detail/BIM-1207252
American Medical Association (AMA)
Shen, Yali& Yao, Ruoxia. Solutions and Painlevé Property for the KdV Equation with Self-Consistent Source. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-16.
https://search.emarefa.net/detail/BIM-1207252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207252