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

被引：34

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.

引用

页数：10

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