Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations. (August 2022)

• Record Type: Journal Article
• Authors: Van Tin, Phan
• Is Part Of: Nonlinear analysis. Volume 221(2022)
• Publication Date: 2022-08
• Subjects: 35Q55 -- 35C08 -- 35Q51; Nonlinear derivative Schrödinger equations -- Multi solitons -- Multi kink-solitons; 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.2022.112915
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We look for solutions to derivative nonlinear Schrodinger equations built upon solitons. We prove the existence of multi-solitons i.e. solutions behaving at large time as the sum of finite solitons. We also show that one can attach a kink at the begin of the sum of solitons i.e. multi kink-solitons. Our proofs proceed by fixed point arguments around the desired profile, using Strichartz estimates.