A HIERARCHY OF HAMILTONIAN EQUATIONS ASSOCIATED WITH THE MODIFIED JAULENT-MIODEK HIERARCHY

被引：1
|
作者：
Ding, Hai-Yong [2 ]
Yang, Hong-Xiang [1 ]
Sun, Ye-Peng [3 ]
Zhu, Li-Li [1 ]
机构：
[1] Taishan Univ, Coll Informat Sci & Technol, Tai An 271021, Shandong, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Sch Remote Sensing, Nanjing 210044, Peoples R China
[3] Shandong Econ Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2010年 / 24卷 / 02期
关键词：
Matrix eigenvalue problem; Lax pair; generalized trace identity; Hamiltonian structure; Liouville integrability; INTEGRABLE COUPLINGS; SOLITON-EQUATIONS; SEMIDIRECT SUMS; SYSTEMS; OPERATORS; GENERATE;
D O I：
10.1142/S0217984910022226
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
By considering a new four-by-four matrix eigen value problem, a hierarchy of Lax integrable evolution equations with four potentials is derived. The Hamiltonian structures of the resulting hierarchy are established by means of the generalized trace identity. The Liouville integrability for the hierarchy of the resulting Hamiltonian equations is presented.
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页码：183 / 193
页数：11
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