四维实李群上的一些双哈密顿系统及其变量分离

Q4 Mathematics
G. Haghighatdoost, S. Abdolhadi-zangakani, Rasoul Mahjoubi-Bahman
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引用次数: 0

摘要

本文讨论了四维实李群上可积系统族上的双哈密顿结构。通过构造该双哈密顿结构族相应的控制矩阵,得到了详细求分离变量和分离关系的显式过程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups
In this work, we discuss bi-Hamiltonian structures on a family of integrable systems on 4-dimensional real Lie groups. By constructing the corresponding control matrix  for this family of bi-Hamiltonian structures, we obtain an explicit process for finding  the variables of separation and the separated relations in detail.
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来源期刊
Communications in Mathematical Analysis
Communications in Mathematical Analysis Mathematics-Applied Mathematics
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