Riemann-Hilbert approach and N-soliton solutions for the generalized nonlinear Schrödinger equation

This paper studies the N-soliton solutions of the generalized nonlinear Schrödinger equation. Firstly, the spectral analysis of a Lax pair is carried out. Secondly, the Riemann-Hilbert (RH) problem is established. Finally, the RH problem without reflection is considered and the expression of general...

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Bibliographic Details
Published in:	Physica scripta Vol. 94; no. 9; pp. 95203 - 95206
Main Authors:	Ma, Xi, Xia, Tie-cheng
Format:	Journal Article
Language:	English
Published:	IOP Publishing 01-09-2019
Subjects:	Riemann-Hilbert approach soliton solutions the generalized nonlinear Schrödinger equation
Online Access:	Get full text
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Summary:	This paper studies the N-soliton solutions of the generalized nonlinear Schrödinger equation. Firstly, the spectral analysis of a Lax pair is carried out. Secondly, the Riemann-Hilbert (RH) problem is established. Finally, the RH problem without reflection is considered and the expression of general N-soliton solutions of the equation is obtained.
Bibliography:	PHYSSCR-107647.R1
ISSN:	0031-8949 1402-4896
DOI:	10.1088/1402-4896/ab05f9