N-soliton solutions to the multi-component nonlocal Gerdjikov-Ivanov equation via Riemann-Hilbert problem with zero boundary conditions

被引：11

作者：

Zhang, Yong ^{[1
,2
]}

Dong, Huan-He ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 125卷

基金：

中国国家自然科学基金;

关键词：

Nonlocal Gerdjikov-Ivanov equation; Eigenvalue problem; Riemann-Hilbert problem; N-soliton solution; NONLINEAR SCHRODINGER-EQUATION; TRANSFORMATION; WAVES;

D O I：

10.1016/j.aml.2021.107770

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on zero curvature equation, the multi-component nonlocal reverse-time Gerdjikov-Ivanov (GI) equation is derived through nonlocal group reduction of the multi-component GI equation. Then the soliton solutions of this new multi-component nonlocal reverse-time GI equation are given with the aid of the corresponding Riemann-Hilbert problem. Especially, under the reflectless case, the N-soliton solutions of this nonlocal system are gained with a pure algebraic method, conversely, if the jump is not an identity, the solutions can only be determined by the Sokhotski-Plemelj formula. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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