AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials

被引：28
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, Mat Sci Innovat & Modelling, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 145卷
关键词：
Integrable hierarchy; Lax pair; Zero curvature equation; NLS equations; mKdV equations; SOLITON HIERARCHY; EQUATIONS;
D O I：
10.1016/j.aml.2023.108775
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to derive a kind of integrable hierarchies with four potentials, which possess bi-Hamiltonian structures, from reduced AKNS matrix spectral problems. The associated recursion operators are worked out explicitly. The Lax pair formulation and the trace identity are basic tools in the analysis. Two nonlinear examples in the resulting integrable hierarchies are integrable nonlinear Schrodinger type equations and integrable modified Korteweg-de Vries type equations. & COPY; 2023 Elsevier Ltd. All rights reserved.
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页数：6
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