An extended AKNS eigenvalue problem and its affiliated integrable Hamiltonian hierarchies

被引：2
|
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, Dept Math Sci, Mat Sci Innovat & Modelling, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
来源：
CHAOS SOLITONS & FRACTALS | 2024年 / 188卷
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; COUPLINGS;
D O I：
10.1016/j.chaos.2024.115580
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper aims to study an extended 4 x 4 AKNS eigenvalue problem and construct its affiliated integrable hierarchies of bi-Hamiltonian models over the real field. The Lax pair framework serves as the fundamental tool, ensuring integrability through bi-Hamiltonian structures with hereditary recursion operators. We compute illustrative examples of lower-order equations to demonstrate the affiliated integrable hierarchies.
引用
收藏
页数：6
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