76 citations · 244 across the 22 of their papers we have counts for
8 papers · 1 filter
New Construction of Algebro-Geometric Solutions to the Modified Kadomtsev-Petviashvili Hierarchy
Peng Zhao, Engui Fan
We extend Gesztesy-Holden's method to 2+1 dimensional case to obtain a unified construction to the algebro-geometric solutions of the whole modified Kadomtsev-Petviashvili (mKP) hi…
Algebro-Geometric Solutions for the Kadomtsev-Petviashvili Hierarchy
Peng Zhao, Engui Fan
Based on the idea of symmetric constraint, we apply the Gesztesy-Holden's method to derive explicit representations of the Baker-Ahkiezer function of the KP hierarchy, from w…
Algebro-geometric solutions for the two-component Hunter-Saxton hierarchy
Yu Hou, Engui Fan
This paper is dedicated to provide theta function representations of algebro-geometric solutions and related crucial quantities for the two-component Hunter-Saxton (HS2) hierarchy…
Reality problems for the Algebro-Geometric Solutions of Fokas-Lenell hierarchy
Peng Zhao, Engui Fan
In a previous study, we obtained the algebro-geometric solutions and -dark solitons of Forkas-Lenells (FL) hierarchy using algebro-geometric method. In this paper, we construct…
Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy
Peng Zhao, Engui Fan, Yu Hou
This paper is dedicated to provide theta function representations of algebro-geometric solutions for the Fokas-Lenells (FL) hierarchy through studying an algebro-geometric initial…
The Algebro-Geometric Initial Value Problem for the Relativistic Lotka-Volterra Hierarchy and Quasi-Periodic Solutions
Peng Zhao, Engui Fan, Yu Hou
We provide a detailed treatment of relativistic Lotka-Volterra hierarchy and a kind of initial value problem with special emphasis on its the theta function representation of all a…