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

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-07-19 DOI:10.1088/1751-8121/ad65a1

L. Zang, Qian Zhang, Qingping Liu

引用次数: 0

Abstract

The compatible trios of two-component homogeneous Hamiltonian operators were classified and some bi-Hamiltonian systems were constructed by Lorenzoni, Savoldi, and Vitolo [J. Phys. A: Math. Theor. {\bf{51}} (2018) 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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论三个双分量双哈密顿系统的可积分性

Lorenzoni、Savoldi和Vitolo对两分量同质哈密顿算子的兼容三元组进行了分类，并构造了一些双哈密顿系统[J. Phys. A: Math. Theor. {\bf{51}} (2018) 045202]。本文研究了他们提出的三个双分量双哈密顿系统。通过延长结构技术，我们为这些系统构造了缺失的Lax表示，并证实了它们的可整性。此外，我们还探讨了这些系统与已知可积分系统之间可能存在的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464

期刊介绍： ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.