The discrete modified Korteweg-de Vries equation under nonzero boundary conditions

被引：3
作者：
Wang, Guixian [1 ]
Han, Bo [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 140卷
基金：
中国国家自然科学基金;
关键词：
The discrete modified Korteweg-de  Vries equation; Robust inverse scattering transform; Riemann-Hilbert problem; Rational solutions; RIEMANN-HILBERT PROBLEMS; INVERSE SCATTERING; TRANSFORMATION;
D O I：
10.1016/j.aml.2022.108562
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study the discrete modified Korteweg-de Vries equation under nonzero boundary conditions with the help of the robust inverse scattering transform. Starting from its Lax pair, we first present the Jost solutions, scat-tering matrix and their three properties. Then we construct the Riemann-Hilbert problems and Darboux matrix based on the robust inverse scattering transform, further on, rational solutions are deduced and some prominent characteristics of these solutions graphicly in detail are exhibited by choosing suitable parameters. Our results are useful to explain the related nonlinear wave phenomena.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：7
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