Aufsatz(elektronisch)#12115. März 2024
Four-Component Liouville Integrable Models and Their Bi-Hamiltonian Formulations
In: Romanian journal of physics, Band 69, Heft 1-2, S. 101-101
School of Mathematics and Statistics, Xuzhou University of Technology,
Xuzhou 221008, Jiangsu, China; YANG, JIN-YUN; MA, WEN-XIU; 1.Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
2.Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3.Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
4.School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
School of Mathematics and Statistics, Xuzhou University of Technology,
Xuzhou 221008, Jiangsu, China; YANG, JIN-YUN; MA, WEN-XIU; 1.Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
2.Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
3.Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
4.School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa
We aim at presenting Liouville integrable Hamiltonian models with four dependent variables from a specific matrix eigenvalue problem. The Liouville integrability of the resulting models is exhibited through formulating their bi-Hamiltonian formulations. The basic tools are the Lax pair approach and the trace identity. Two illustrative examples consist of novel four-component coupled integrable models of second-order and third-order