Generalizations of the finite nonperiodic Toda lattice and its Darboux transformation

被引:0
作者
Li, Jian [1 ]
Li, Chuanzhong [2 ]
机构
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
基金
中国国家自然科学基金;
关键词
Hamiltonian systems; Toda lattices; Darboux transformation; Lie algebra; Kac-van Moerbeke hierarchy; HIERARCHY; INTEGRABILITY; INTEGRATION; REDUCTIONS;
D O I
10.1088/1572-9494/ac01e5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we construct Hamiltonian systems for 2N particles whose force depends on the distances between the particles. We obtain the generalized finite nonperiodic Toda equations via a symmetric group transformation. The solutions of the generalized Toda equations are derived using the tau functions. The relationship between the generalized nonperiodic Toda lattices and Lie algebras is then be discussed and the generalized Kac-van Moerbeke hierarchy is split into generalized Toda lattices, whose integrability and Darboux transformation are studied.
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页数:13
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