非局部逆空间矩阵非线性Schrödinger方程的逆散射变换

IF 2.3 4区数学 Q1 MATHEMATICS, APPLIED

European Journal of Applied Mathematics Pub Date : 2021-12-01 DOI:10.1017/s0956792521000334

W. Ma, Yehui Huang, Fudong Wang

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引用次数: 8

摘要

本文的目的是探讨非局部逆空间矩阵非线性Schrödinger方程及其逆散射变换。用Riemann-Hilbert问题来分析逆散射问题，用Sokhotski-Plemelj公式来确定广义矩阵Jost解的gelfand - levitan - marchenko型积分方程。通过与黎曼-希尔伯特问题的极点相关的无反射变换来构造孤子解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations

The aim of the paper is to explore non-local reverse-space matrix non-linear Schrödinger 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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来源期刊

European Journal of Applied Mathematics 数学-应用数学

CiteScore

4.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines. Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.