Well-posedness and orbital stability of traveling waves for the Schrodinger-improved Boussinesq system

Autor(es)

Esfahani, Amin ; Pastor, Ademir

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 22, p. 13-pg., 2015-04-01.

Resumo

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)

• Processo FAPESP: 13/08050-7 - Equações de evolução dispersivas não-lineares e aplicações
• Beneficiário: Ademir Pastor Ferreira
• Modalidade de apoio: Auxílio à Pesquisa - Regular