Some bi-Hamiltonian Systems and their Separation of Variables on 4-dimensional Real Lie Groups

Sahand Communications in Mathematical Analysis

卷:18

Salahaddin Abdolhadi-Zangakani¹  Rasoul Mahjoubi-Bahman¹  Ghorbanali Haghighatdoost² 

[1] Department of Mathematics, University of Bonab, Tabriz, Iran.;

[2] Department of Mathematics,Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran.;

关键词: integrable system;    bi-hamiltonian;    control matrix;    variables of separation;   

DOI  :  10.22130/scma.2020.122380.764

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown