Inverse scattering transform for the integrable fractional derivative nonlinear Schrödinger equation

被引：7

作者：

An, Ling ^{[1
]}

Ling, Liming ^{[1
]}

Zhang, Xiaoen ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2024年 / 458卷

基金：

中国国家自然科学基金;

关键词：

Fractional derivative nonlinear Schrodinger; equation; Recursion operator; Inverse scattering transform; FractionalN-soliton solution; Fractional rational solution; SCHRODINGER-EQUATION; WAVES; PROPAGATION; CALCULUS; PARALLEL;

D O I：

10.1016/j.physd.2023.133888

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose an integrable fractional derivative nonlinear Schrodinger (fDNLS) equation with the aid of the completeness of the squared eigenfunctions for the Kaup-Newell system. Then we further construct an appropriate Riemann-Hilbert problem, from which we obtain a reconstruction formula of the solution of the fDNLS equation. The fractional N-soliton solution is carried out explicitly by means of determinants and the fractional one-soliton solution is verified rigorously. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：18

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