Saddle-Node Heteroclinic Orbit and Exact Nontraveling Wave Solutions for (2+1)D KdV-Burgers Equation
We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation does not exist. The Saddle-node heteroclinic orbit has been obtained. Using the Lie group method, we get two-(1+1)-dimensional PDE, through symmetric reduction; and by the direct integral method, spread F-expansion...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/696074 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We have undertaken the fact that the periodic solution of (2+1)D KdV-Burgers equation
does not exist. The Saddle-node heteroclinic orbit has been obtained. Using the Lie group method, we
get two-(1+1)-dimensional PDE, through symmetric reduction; and by the direct integral method, spread
F-expansion method, and -expansion method, we obtain exact nontraveling wave solutions, for the
(2+1)D KdV Burgers equation, and find out some new strange phenomenons of sympathetic vibration to
evolution of nontraveling wave. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |