Journal
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
Volume 33, Issue 6, Pages 1062-1082Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0956792521000334
Keywords
Matrix spectral problem; non-local reduction; inverse scattering; Riemann-Hilbert problem; soliton solution
Categories
Funding
- NSFC [11975145, 11972291]
- Fundamental Research Funds of the Central Universities [2020MS043]
- Natural Science Foundation for Colleges and Universities in Jiangsu Province [17 KJB 110020]
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The aim of this paper is to study non-local reverse-space matrix non-linear Schrodinger equations and their inverse scattering transforms. Riemann-Hilbert problems are formulated to analyze the inverse scattering problems, and the Sokhotski-Plemelj formula is used to determine Gelfand-Levitan-Marchenko-type integral equations for generalized matrix Jost solutions. Soliton solutions are constructed through reflectionless transforms associated with poles of the Riemann-Hilbert problems.
The aim of the paper is to explore non-local reverse-space matrix non-linear Schrodinger equations and their inverse scattering transforms. Riemann-Hilbert problems are formulated to analyse the inverse scattering problems, and the Sokhotski-Plemelj formula is used to determine Gelfand-Levitan-Marchenko-type integral equations for generalised matrix Jost solutions. Soliton solutions are constructed through the reflectionless transforms associated with poles of the Riemann-Hilbert problems.
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