Inverse scattering for the derivative nonlinear Schr?dinger equation with nonzero boundary conditions and triple poles

被引：1
|
作者：
Liu, Nan [1 ,2 ,3 ]
Yu, Jia-Dong [4 ,5 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Ctr Appl Math Jiangsu Prov, Nanjing 210044, Peoples R China
[3] Nanjing Univ Informat Sci & Technol, Jiangsu Int Joint Lab Syst Modeling & Data Anal, Nanjing 210044, Peoples R China
[4] Shandong First Med Univ, Coll Med Informat Engn, Tai An 271016, Peoples R China
[5] Shandong Acad Med Sci, Tai An 271016, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 136卷
关键词：
Derivative nonlinear Schr?dinger; Equation; Inverse Scattering Transform; Riemann-Hilbert problem; Nonzero boundary conditions; Triple-pole soliton; N-SOLITON SOLUTION; SCHRODINGER-EQUATION; PARALLEL; WAVES;
D O I：
10.1016/j.aml.2022.108474
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The inverse scattering transform approach is used to investigate the deriva-tive nonlinear Schrodinger equation (DNLSE) with nonzero boundary conditions (NZBCs) at infinity and triple zeros of analytical scattering coefficients. Based on the analytical, symmetric and asymptotic properties of eigenfunctions, a matrix Riemann-Hilbert problem (RHP) associated with DNLSE with NZBCs is constructed. Then, the reconstruction formula for the potential is found by solving the RHP. In particular, the reflectionless potential with triple poles for the NZBCs is carried out explicitly by means of determinants.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：9
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