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math-ph2014★ 26 cited
The partition function of the extended -reduced Kadomtsev-Petviashvili hierarchy
Marco Bertola, Di Yang
We derive a particular solution of the extended -reduced KP hierarchy, which is specified by a generalized string equation. The work is a generalization to arbitrary o…
math.AG2014★ 2 cited
Hodge integrals and tau-symmetric integrable hierarchies of Hamiltonian evolutionary PDEs
Boris Dubrovin, Si-Qi Liu, Di Yang +1
For an arbitrary semisimple Frobenius manifold we construct Hodge integrable hierarchy of Hamiltonian partial differential equations. In the particular case of quantum cohomology t…