文献类型：期刊文献

英文题名：N-th-Order Solutions for the Reverse Space-Time Nonlocal mKdV Equation: Riemann-Hilbert Approach

作者：Lin, Bingwen[1];Zhang, Yongshuai[2]

机构：[1]Lishui Univ, Dept Math, Lishui 323000, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

年份：2024

卷号：16

期号：12

外文期刊名：SYMMETRY-BASEL

收录：SCI-EXPANDED(收录号：WOS:001386884900001)、、Scopus(收录号：2-s2.0-85213282862)、WOS

语种：英文

外文关键词：reverse space-time nonlocal mKdV equation; Riemann-Hilbert approach; higher-order poles; double-periodic solution

外文摘要：This paper explores the reverse space-time mKdV equation through the application of the Riemann-Hilbert problem. Under the zero boundary condition, we derive the Jost solutions, examine their the analytic and symmetry properties alongside those of the scattering matrix, and formulate the corresponding Riemann-Hilbert problem. By assuming that the scattering coefficient has multiple simple zero points and one higher-order zero point, we obtain explicit solutions to the Riemann-Hilbert problem in a reflection-less situation and display two types of formulae for the N-th order solutions of the reverse space-time nonlocal mKdV equation, which correspond to multiple simple poles and one higher-order pole, respectively. As applications, we display two kinds of double-periodic solutions explicitly and graphically. Additionally, we display the conversation laws for the reverse space-time nonlocal mKdV equation.