Variational methods and stability of periodic waves for nonlinear dispersive systems
Existence and orbital stability of cnoidal waves for a 1d boussinesq equation.
| Full text | |
| Author(s): |
Esfahani, Amin
;
Pastor, Ademir
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 22, p. 13-pg., 2015-04-01. |
| Abstract | |
Considered here is the Schrodinger-improved Boussinesq system. First we prove local and global well-posedness in the energy space for the periodic initial-value problem. The proof combines a Strichartz-type estimate with the contraction mapping principle. Second we establish the existence and orbital stability of periodic and solitary traveling-wave solutions. The stability results are set out in the context of abstract Hamiltonian systems. (C) 2014 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 13/08050-7 - Nonlinear dispersive evolution equations and applications |
| Grantee: | Ademir Pastor Ferreira |
| Support Opportunities: | Regular Research Grants |