Bounded multi-soliton solutions and their asymptotic analysis for the reversal-time nonlocal nonlinear Schrodinger equation

被引：5
作者：
Tang, Wei-Jing [1 ]
Hu, Zhang-nan [1 ]
Ling, Liming [1 ]
机构：
[1] South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2021年 / 73卷 / 10期
基金：
中国国家自然科学基金;
关键词：
nonlocal nonlinear Schrodinger equation; multi-soliton solution; singularity; asymptotic analysis; BACKLUND TRANSFORMATION; INVERSE SCATTERING; SOLITONS;
D O I：
10.1088/1572-9494/ac08fb
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we construct the Darboux transformation (DT) for the reverse-time integrable nonlocal nonlinear Schrodinger equation by loop group method. Then we utilize the DT to derive soliton solutions with zero seed. We investigate the dynamical properties for those solutions and present a sufficient condition for the non-singularity of multi-soliton solutions. Furthermore, the asymptotic analysis of bounded multi-solutions has also been established by the determinant formula.
引用
收藏
页数：13
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