Title of article :
Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups
Author/Authors :
Haghighatdoost ، Ghorbanali Department of Mathematics - Azarbaijan Shahid Madani University , Abdolhadi-Zangakani ، Salahaddin Department of Mathematics - University of Bonab , Mahjoubi-Bahman ، Rasoul Department of Mathematics - University of Bonab
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.
Keywords :
Integrable system , Bi , Hamiltonian , Control matrix , Variables of separation
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis