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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear reciprocal transformations of bihamiltonian integrable hierarchies
双哈密尔顿 可积层次 线性互易变换 流体力学
2023/11/13
For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transfo...
Interpolating' differential reductions of multidimensional integrable hierarchies
differential reductions multidimensional integrable hierarchies
2010/11/10
We transfer the scheme of constructing differential reductions, developed recently for the case of the Manakov-Santini hierarchy, to the general multidimensional case. We consider in more detail the ...
Canonical and grand canonical partition functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization
partition functions integrable hierarchies Dyson gases
2010/4/2
The partition function for a canonical ensemble of 2D Coulomb charges in a background potential (the Dyson gas) is realized as a vacuum expectation value of a group-like element constructed in terms o...