Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations-Reference-Cited by-同舟云学术

Binary Darboux transformation of vector nonlocal reverse-space nonlinear Schrödinger equations

Published:2024-04-10 Issue:11 Volume:21 Page:
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Ma Wen-Xiu¹²³⁴^ORCID,Huang Yehui⁵^ORCID,Wang Fudong⁶^ORCID,Zhang Yong⁷^ORCID,Ding Liyuan⁸^ORCID

Affiliation:

1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, P. R. China

2. Department of Mathematics, King Abdulaziz University, Jeddah 21598, Saudi Arabia

3. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA

4. Material Science Innovation and Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa

5. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, P. R. China

6. School of Sciences, Great Bay University, Dongguan 523000, Guangdong, P. R. China

7. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, P. R. China

8. School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu,P. R. China

Abstract

For vector nonlocal reverse-space nonlinear Schrödinger equations, a binary Darboux transformation is formulated by using two sets of eigenfunctions and adjoint eigenfunctions. The resulting binary Darboux transformation has been decomposed into an [Formula: see text]-fold product of single binary Darboux transformations. An application starting from zero seed potentials generates a class of soliton solutions.

Funder

NSFC

Ministry of Science and Technology of China

Natural Science Foundation for Colleges and Universities in Jiangsu Province

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887824501822

Reference32 articles.

1. Solitons and the Inverse Scattering Transform

2. Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations

3. Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system

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