3 problems

Let $M$ be a semisimple generalized Frobenius manifold with non-flat unity, and consider the deformed bihamiltonian structure of its Legendre-extended Principal Hierarchy obtained…

Let $r>2$. Consider the bihamiltonian structures $(\mathbb{B}_2^\mathcal{Q},\mathbb{B}_1^\mathcal{Q})$ and $(\{\cdot,\cdot\}_2^{kp},\{\cdot,\cdot\}_1^{kp})$ associated with the rel…

Let a semisimple bihamiltonian structure of hydrodynamic type and a set of central invariants be given. Existence conjecture. There exists a deformation of the bihamiltonian struct…