Journal
APPLIED MATHEMATICS LETTERS
Volume 49, Issue -, Pages 84-90Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2015.05.001
Keywords
Kuramoto-Sivashinsky equation; Painleve test; Painleve property; Elliptic solution; Exact solution
Categories
Funding
- Russian Science Foundation [14-11-00258]
- RFBR grant [14-01-00498]
Ask authors/readers for more resources
The generalized Kuramoto-Sivashinsky equation is considered. The Painleve test is applied for studying this equation. It is shown that the generalized Kuramoto-Sivashinsky equation does not pass the Painleve test but has the expansion of the general solution in the Laurent series. As consequence the equation can have some exact solutions at additional conditions on the parameters of equation. Solitary wave and elliptic solutions of the generalized Kuramoto-Sivashinsky equation are found by means of expansion for solution in the Laurent series. It is shown that solutions obtained describe some structures in the medium with the dissipation and instability. (C) 2015 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