High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
type: Item
instance of: scholarly article
title: High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
zbMATH Open document ID: 1414.35196
author: Bo Yang
author: Yong Chen
published in: Nonlinear Analysis. Real World Applications
publication date: 2019-02-27T00:00:00Z
review text: The author studies higher order soliton matrices for the Sasa-Satsuma equation \[ u_t+u_{xxx}+6|u|^2u_x+3u(|u|^2)_x=0 \] using the Riemann-Hilbert problem approach. The collision dynamics and the asymptotic behavior for the two solitons solutions are analyzed, and long time asymptotic estimations for the higher order one soliton solutions are calculated.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 7030138
zbMATH Keywords: inverse scattering method
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: Darboux transformation
zbMATH Keywords: higher order soliton
zbMATH Keywords: asymptotic analysis
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.08.004
OpenAlex ID: W2890399481
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DOI: 10.1016/J.NONRWA.2018.08.004
description: scientific article; zbMATH DE number 7030138