5 citations · 16 across the 11 of their papers we have counts for
10 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…
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…
The derivative nonlinear Schrodinger equation on the interval
Jian Xu, Engui Fan
We use the Fokas method to analyze the derivative nonlinear Schrödinger (DNLS) equation on the interval . Assuming that the solution $q(x,…
The algebro-geometric solutions for the modified Camassa-Holm hierarchy
Yu Hou, Engui Fan, Zhijun Qiao
This paper is dedicated to provide theta function representation of algebro-geometric solutions and related crucial quantities for the modified Camassa-Holm (MCH) hierarchy through…