A LIOUVILLE INTEGRABLE HIERARCHY WITH FOUR POTENTIALS AND ITS BI-HAMILTONIAN STRUCTURE

被引：41
|
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] Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa
来源：
ROMANIAN REPORTS IN PHYSICS | 2023年 / 75卷 / 03期
关键词：
Matrix spectral problem; Zero curvature equation; Integrable hierar-chy; NLS equations; mKdV equations; SOLITON HIERARCHY; EQUATIONS; TRANSFORMATIONS;
D O I：
10.59277/RomRepPhys.2023.75.115
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We aim to construct a Liouville integrable Hamiltonian hierarchy from a specific matrix spectral problem with four potentials through the zero curvature formulation. The Liouville integrability of the resulting hierarchy is exhibited by a bi-Hamiltonian structure explored by using the trace identity. Illustrative examples of novel four-component coupled Liouville integrable nonlinear Schro center dot dinger equations and modified Korteweg-de Vries equations are presented.
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