By Si-Qi Liu and others

For any generalized Frobenius manifold with non-flat unity, we construct a bihamiltonian integrable hierarchy of hydrodynamic type which is an analogue of the Principal Hierarchy of a Frobenius manifold. We show that such an integrable hierarchy, which we also call the Principal Hierarchy, possesses Virasoro symmetries and a tau structure,... Show more

September 8, 2022

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Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies

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