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Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 1)Publication Date: 2021-02-01
Authors : Ghorbanali - Haghighatdoost; Salahaddin Abdolhadi-Zangakani; Rasoul Mahjoubi-Bahman;
Page : 89-105
Keywords : Integrable system; Bi-Hamiltonian; Control matrix; Variables of separation;
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Abstract
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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Last modified: 2021-11-03 14:31:28