Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems
type: Item
instance of: scholarly article
title: Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems
zbMATH Open document ID: 1462.35229
author: Zhenya Yan
author: Shu-Yan Chen
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-03-08T00:00:00Z
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 7318538
zbMATH Keywords: coupled dispersive AB system
zbMATH Keywords: initial-value condition
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: nonlinear steepest descent method
zbMATH Keywords: long-time asymptotics
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.124966
OpenAlex ID: W4235173172
cites work: Scattering and inverse scattering for first order systems
cites work: Long-time Asymptotics for the Camassa–Holm Equation
cites work: Long-time asymptotics for the pure radiation solution of the sine—gordon equation
cites work: Long-time asymptotics for the Degasperis-Procesi equation on the half-line
cites work: Q4321438
cites work: A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
cites work: A Unified Approach to Boundary Value Problems
cites work: Amplitude equations at the critical points of unstable dispersive physical systems
cites work: An example of soliton behaviour in a rotating baroclinic fluid
cites work: The Sine-Gordon Equation as a Model for a Rapidly Rotating Baroclinic Fluid
cites work: Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent
cites work: Long-time asymptotic for the Hirota equation via nonlinear steepest descent method
cites work: Q3317451
cites work: Periodic solutions and Whitham equations for the AB system
cites work: The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity
cites work: Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
cites work: Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
DOI: 10.1016/J.JMAA.2021.124966
description: scientific article; zbMATH DE number 7318538