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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On several bi-Hamiltonian systems
双哈密顿系统 齐次Hamitionan算子 相容三元组
2023/11/13
Recently, based on the classification of the second and third order homogeneous Hamitionan operators Lorenzoni and his collaborators classified compatible trios of two-component homogeneous Hamiltonia...
Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators
Kupershmidt deformation bi-Hamiltonian systems Rosochatius deformation soliton equation with self-consistent sources
2011/7/6
When both Hamiltonian operators of a bi-Hamiltonian system are
pure differential operators, we show that the generalized Kupershmidt defor-
mation (GKD) developed from the Kupershmidt deformation in...
On compatible metrics and diagonalizability of non-locally bi-Hamiltonian systems of hydrodynamic type
hydrodynamic type bi-Hamiltonian systems
2010/4/7
We study bi-Hamiltonian systems of hydrodynamic type with non-singular (semisimple) non-local bi-Hamiltonian structures and prove that such systems of hydrodynamic type are diagonalizable. Moreover, w...