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.

引用

页数：7

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