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Solutions of the loop equations of a class of generalized Frobenius manifolds

Autor: Liu, Si-Qi, Qu, Haonan, Wang, Yuewei, Zhang, Youjin

We prove the existence and uniqueness of solution of the loop equation associated with a semisimple generalized Frobenius manifold with non-flat unity, and show, for a particular example of one dimensional generalized Frobenius manifold, that the def

Externí odkaz: http://arxiv.org/abs/2402.00373

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Generalized Frobenius Manifolds with Non-flat Unity and Integrable Hierarchies

Autor: Liu, Si-Qi, Qu, Haonan, Zhang, Youjin

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, whi

Externí odkaz: http://arxiv.org/abs/2209.00483

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Tri-Hamiltonian Structure of the Ablowitz-Ladik Hierarchy

Autor: Li, Shuangxing, Liu, Si-Qi, Qu, Haonan, Zhang, Youjin

We construct a local tri-Hamiltonian structure of the Ablowitz-Ladik hierarchy, and compute the central invariants of the associated bihamiltonian structures. We show that the central invariants of one of the bihamiltonian structures are equal to 1/2

Externí odkaz: http://arxiv.org/abs/2108.03447

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