A multi-component integrable hierarchy and its integrable reductions

被引：9

作者：

Ma, Wen-Xiu ^{[1
,2
,3
,4
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, 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, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

来源：

PHYSICS LETTERS A | 2023年 / 457卷

关键词：

Matrix spectral problem; Zero curvature equation; Integrable hierarchy; NLS equations; mKdV equations; INVERSE SCATTERING TRANSFORM; EQUATIONS; DYNAMICS; SOLITONS;

D O I：

10.1016/j.physleta.2022.128575

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a multi-component integrable hierarchy via the zero curvature formulation. The trace identity is applied to construction of its Hamiltonian structure, and two integrable reductions are generated under similarity transformations. The adopted matrix spectral problem is associated with a special Lie sub -algebra of the general linear algebra.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：6

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