5 papers · 1 filter
The Stability Limit of Prepotentials for Hurwitz-Frobenius Manifolds: An Infinite-Dimensional Approach
Shilin Ma
The stability of prepotential derivatives for Frobenius manifolds associated with A_N and D_N singularities has been utilized to construct (2+1)-dimensional dispersionless integrab…
Solutions to Open WDVV Equations for the Universal Whitham Hierarchy
Shilin Ma
In this paper, we construct a pair of solutions to the open WDVV equations associated with the infinite-dimensional Frobenius manifolds that underlie the genus-zero universal Whith…
Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies
Shilin Ma, Chao-Zhong Wu, Dafeng Zuo
In this paper we construct a class of infinite-dimensional Frobenius manifolds in the spaces of pairs of meromorphic functions defined on certain regions of the Riemann sphere. For…
Principal hierarchy of Frobenius manifolds with rational and trigonometric superpotentials
Shilin Ma
In this paper, we construct the principal hierarchies for Frobenius manifolds with rational and trigonometric superpotentials, as well as their almost dualities. We demonstrate tha…
Principal hierarchy of Infinite-dimensional Frobenius Manifold Underlying the Extended Kadomtsev-Petviashvili Hierarchy
Shilin Ma
In this paper, we construct the principal hierarchy of the infinite-dimensional Frobenius manifold underlying the extended Kadomtsev-Petviashvili hierarchy. We show that this hiera…