| Full text | |
| Author(s): |
Natali, Fabio
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Applied Mathematics Letters; v. 23, n. 5, p. 591-596, MAY 2010. |
| Web of Science Citations: | 8 |
| Abstract | |
In this paper we establish the nonlinear stability of solitary traveling-wave solutions for the Kawahara-KdV equation u(t) + uu(x) + u(xxx) - gamma(i)u(xxxx) = 0, and the modified Kawahara-KdV equation u(t) + 3u(2)u(x) + u(xxx) gamma(2)u(xxxx) = 0, where gamma(i) is an element of R is a positive number when i = 1, 2. The main approach used to determine he stability of solitary traveling waves will be the theory developed by Albert (1992) in {[}9]. (C) 2010 Elsevier Ltd. All rights reserved. (AU) | |