On the integrability of three two-component bi-Hamiltonian systems

被引：0
|
作者：
Zang, Liming [1 ]
Zhang, Qian [2 ]
Liu, Q. P. [2 ]
机构：
[1] Beijing Informat Sci & Technol Univ BISTU, Sch Appl Sci, Beijing 100192, Peoples R China
[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2024年 / 57卷 / 33期
基金：
中国国家自然科学基金;
关键词：
bi-Hamiltonian systems; prolongation structure; Lax representation; energy-dependent Schr & ouml; dinger operator; PROLONGATION STRUCTURES; CONSERVATION-LAWS; DEFORMATIONS; CLASSIFICATION; EQUATIONS;
D O I：
10.1088/1751-8121/ad65a1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The compatible trios of two-component homogeneous Hamiltonian operators were classified and some bi-Hamiltonian systems were constructed by Lorenzoni et al (2018 J. Phys. A: Math. Theor. 51 045202). In this paper, we study three two-component bi-Hamiltonian systems proposed by them. By means of the prolongation structure technique, we construct the missing Lax representations for those systems and confirm their integrability. Furthermore, we explore the possible connections between those systems and the known integrable systems.
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页数：18
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