Multiple higher-order pole solutions of modified complex short pulse equation

被引：4
作者：
Lv, Cong [1 ]
Liu, Q. P. [1 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 141卷
基金：
中国国家自然科学基金;
关键词：
Modified complex short pulse; equation; Multiple higher-order pole solutions; Riemann-Hilbert problem; RIEMANN-HILBERT APPROACH; INVERSE SCATTERING TRANSFORM;
D O I：
10.1016/j.aml.2022.108518
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Riemann-Hilbert approach is developed for solving the modified complex short pulse equation with zero boundary condition when the reflection coefficient has multiple higher-order poles. Under the assumption that the field u(x, t) is defined on compact set, the general formulas for the corresponding multiple higher-order pole solutions are obtained. As examples, several pole-type solutions and their dynamics are demonstrated graphically. (c) 2023 Elsevier Ltd. All rights reserved.
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页数：10
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