Long-time asymptotics for the Hirota equation on the half-line. (September 2018)

• Record Type: Journal Article
• Authors: Guo, Boling; Liu, Nan; Wang, Yufeng
• Is Part Of: Nonlinear analysis. Volume 174(2018)
• Page Start: 118
• Page End: 140
• Publication Date: 2018-09
• Subjects: Hirota equation -- Nonlinear steepest descent method -- Long-time asymptotics; 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.2018.04.004
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the Hirota equation on the quarter plane with the initial and boundary values belonging to the Schwartz space. The goal of this paper is to study the long-time behavior of the solution of this initial–boundary value problem based on the asymptotic analysis of an associated matrix Riemann–Hilbert problem.