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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric aspects of integrable systems
可集成系统 几何方面 多组件可积系统
2023/4/26
Invariant geometric flows in certain geometries have been studied extensively from different points of view. In this talk, we are mainly concerned with geometric aspects of multi-component integrable ...
Abstract: We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type - a cluster integrable system. The phase space of the classical system ...
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...
In 70's there was discovered a construction how to attach to some algebraic-geometric data an infinite-dimensional subspace in the space k((z)) of the Laurent power series. The construction is known a...