An Integrated Integrable Hierarchy Arising from a Broadened Ablowitz-Kaup-Newell-Segur Scenario

被引：8

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, Dept Math Sci, Mat Sci Innovat & Modelling, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

来源：

AXIOMS | 2024年 / 13卷 / 08期

基金：

中国国家自然科学基金;

关键词：

matrix eigenvalue problem; Lax pair; zero-curvature equation; integrable model; bi-Hamiltonian formulation; NONLINEAR EVOLUTION-EQUATIONS; HAMILTONIAN-STRUCTURE; COUPLINGS; SYSTEMS;

D O I：

10.3390/axioms13080563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study introduces a 4x4 matrix eigenvalue problem and develops an integrable hierarchy with a bi-Hamiltonian structure. Integrability is ensured by the zero-curvature condition, while the Hamiltonian structure is supported by the trace identity. Explicit derivations yield second-order and third-order integrable equations, illustrating the integrable hierarchy.

引用

页数：11

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