Well-posedness and orbital stability of traveling waves for the Schrödinger-improved Boussinesq system. (April 2015)

• Record Type: Journal Article
• Authors: Esfahani, Amin; Pastor, Ademir
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 206
• Page End: 218
• Publication Date: 2015-04
• Subjects: Schrödinger-improved Boussinesq system -- Cauchy problem -- Traveling waves -- Orbital stability; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.09.001
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Considered here is the Schrödinger-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.