A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation

A Riemann-Hilbert approach is developed to the multicomponent Kaup-Newell equation. The formula is presented of N-soliton solutions through an identity jump matrix related to the inverse scattering problems with reflectionless potential.

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Main Authors: Jian-bing Zhang, Ze-xuan Zhang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/8844078
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author Jian-bing Zhang
Ze-xuan Zhang
author_facet Jian-bing Zhang
Ze-xuan Zhang
author_sort Jian-bing Zhang
collection DOAJ
description A Riemann-Hilbert approach is developed to the multicomponent Kaup-Newell equation. The formula is presented of N-soliton solutions through an identity jump matrix related to the inverse scattering problems with reflectionless potential.
format Article
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institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2020-01-01
publisher Wiley
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series Advances in Mathematical Physics
spelling doaj-art-6df2543792044761bdcf0bc45bfaedca2025-02-03T05:51:16ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/88440788844078A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell EquationJian-bing Zhang0Ze-xuan Zhang1School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116 Jiangsu, ChinaSchool of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, 221116 Jiangsu, ChinaA Riemann-Hilbert approach is developed to the multicomponent Kaup-Newell equation. The formula is presented of N-soliton solutions through an identity jump matrix related to the inverse scattering problems with reflectionless potential.http://dx.doi.org/10.1155/2020/8844078
spellingShingle Jian-bing Zhang
Ze-xuan Zhang
A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation
Advances in Mathematical Physics
title A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation
title_full A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation
title_fullStr A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation
title_full_unstemmed A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation
title_short A Riemann-Hilbert Approach to the Multicomponent Kaup-Newell Equation
title_sort riemann hilbert approach to the multicomponent kaup newell equation
url http://dx.doi.org/10.1155/2020/8844078
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