Reducing Lax pairs to obtain integrable matrix modified Korteweg-de Vries models

被引：0
作者：
Ma, Wen-Xiu [1 ,2 ,3 ,4 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[4] North West Univ, Mat Sci Innovat & Modelling, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
来源：
PRAMANA-JOURNAL OF PHYSICS | 2025年 / 99卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Lax pair; Ablowitz-Kaup-Newell-Segur matrix spectral problem; zero-curvature equation; similarity transformation; 02.30.Ik; 05.45.Yv; INVERSE SCATTERING TRANSFORM; SOLITON-SOLUTIONS; EQUATIONS; DYNAMICS; DARK;
D O I：
10.1007/s12043-025-02968-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper explores the matrix modified Korteweg-de Vries (mKdV) integrable models using similarity transformations. The study employs the Lax pair formulation as a foundation, proposing pairs of similarity transformations to reduce the Lax pairs of the Ablowitz-Kaup-Newell-Segur matrix spectral problems, thereby deriving integrable matrix mKdV models. Four illustrative scenarios are discussed to present specific examples of these reduced integrable models.
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页数：7
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