Zobrazeno 1 - 10
of 303
pro vyhledávání: '"Zhang Youjin"'
For two generalized Frobenius manifolds related by a Legendre-type transformation, we show that the associated integrable hierarchies of hydrodynamic type, which are called the Legendre-extended Principal Hierarchies, are related by a certain linear
Externí odkaz:
http://arxiv.org/abs/2411.15496
We propose a new method, which is called the tautological flow method, to analyze the integrability of partial difference equations (P$\Delta$Es) based on that of PDEs. By using this method, we prove that the discrete $q$-KdV equation is a discrete s
Externí odkaz:
http://arxiv.org/abs/2409.19530
We define a certain extension of the Ablowitz-Ladik hierarchy, and prove that this extended integrable hierarchy coincides with the topological deformation of the Principal Hierarchy of a generalized Frobenius manifold with non-flat unity.
Externí odkaz:
http://arxiv.org/abs/2404.08895
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
Publikováno v:
Jixie chuandong, Vol 40, Pp 137-141 (2016)
In order to study the transmission performance of the COMI and CIMO type coupler with the same structure parameters,the equivalent magnetic circuit method is used to analyze and derive the torque formula of the coupler,and the final torque expression
Externí odkaz:
https://doaj.org/article/fb6c9156a9d743c6b7e58a6f58af9d5b
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 transforms it to another bihamiltonian integrable hierarc
Externí odkaz:
http://arxiv.org/abs/2305.10851
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
Publikováno v:
In Advances in Mathematics January 2025 460
We propose two conjectural relationships between the equivariant Gromov-Witten invariants of the resolved conifold under diagonal and anti-diagonal actions and the Gromov-Witten invariants of $\mathbb{P}^1$, and verify their validity in genus zero ap
Externí odkaz:
http://arxiv.org/abs/2203.16812
For an arbitrary calibrated Frobenius manifold, we construct an infinite dimensional Lie algebra, called the Virasoro-like algebra, which is a deformation of the Virasoro algebra of the Frobenius manifold. By using the Virasoro-like algebra we give a
Externí odkaz:
http://arxiv.org/abs/2112.07526