Existence and stability of a two-parameter family of solitary waves for a logarithmic NLS–KdV system. (December 2019)

• Record Type: Journal Article
• Authors: Ardila, Alex H.
• Is Part Of: Nonlinear analysis. Volume 189(2019)
• Publication Date: 2019-12
• Subjects: primary 35B35 33Q53 35Q55 -- secondary 35A15; Schrödinger–KdV system -- Concentration-compactness principle -- Orbital stability -- Cauchy problem; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.06.022
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The aim of this paper is to provide a proof of the existence and (conditional) orbital stability for a two-parameter family of solitary-wave solutions to a coupled system of logarithmic nonlinear Schrödinger–Korteweg–de Vries equations. We also obtain the existence of global solutions for initial data in the energy space H ℂ 1 ( R ) × H 1 ( R ) and in an appropriate Orlicz space.