| Author(s): |
Pastor, Ademir
[1]
Total Authors: 1
|
| Affiliation: | [1] IMPA, BR-22460320 Rio De Janeiro - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 23, n. 1-2, p. 125-154, JAN-FEB 2010. |
| Web of Science Citations: | 3 |
| Abstract | |
This paper is concerned with nonlinear and spectral stability of periodic traveling wave solutions for a nonlinear Schrodinger type system arising in nonlinear optics We prove the existence of two smooth curves of periodic solutions depending on the cnoidal type functions In the framework established by Grillakis, Shatah and Strauss we prove a stability result under perturbations having the same minimal wavelength and zero mean over their fundamental period By using the so-called Bloch wave decomposition theory we show spectral stability for a general class of periodic solutions (AU) | |