Zobrazeno 1 - 10
of 436
pro vyhledávání: '"Liu, Si Qi"'
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
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
Semi-supervised medical image segmentation has attracted much attention in recent years because of the high cost of medical image annotations. In this paper, we propose a novel Inherent Consistent Learning (ICL) method, aims to learn robust semantic
Externí odkaz:
http://arxiv.org/abs/2303.14175
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
Autor:
Wu, De-Hua, Lyu, Chao-Geng, Zhao, Dan, Yang, Chang-Gui, Liu, Si-Qi, Zhu, Ji-Tong, Yang, Ya-Ling, Guo, Lan-Ping, Kang, Chuan-Zhi
Publikováno v:
In Journal of Ethnopharmacology 10 February 2025 338 Part 3
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