Several two-component bi-Hamiltonian systems and their integrability

地点:中关村教学楼第二层 N208
主讲人:王东
联系人:王东
联系方式:15910781583
开始时间:2024-03-19 16:00
结束时间:2024-03-19 18:00
内容:

Recently, by combining the tri-duality of Olver and Rosenau with the classification of second and third order homogeneous Hamiltonian operators, Lorenzoni and his collaborators classified compatible trios of two-component homogeneous Hamiltonian operators. Then, those trios were used to construct bi-Hamiltonian systems which, as they claimed, includes some known systems and some apparently new ones. In this talk, we consider those apparently new systems and construct their Lax representations. Furthermore, we explore the possible connections between these systems and the existing ones.