78 citations · 365 across the 100 of their papers we have counts for
5 papers · 2 filters
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…
A Riemann-Hilbert approach to the Harry-Dym equation on the line
Yu Xiao, Engui Fan
In this paper, we consider the Harry-Dym equation on the line with decaying initial value. The Fokas unified method is used to construct the solution of the Harry-Dym equation via…
Algebro-geometric solutions for the two-component Camassa-Holm Dym 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 Camassa-Holm Dym (CHD2) hierar…
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…