7 citations · 25 across the 9 of their papers we have counts for
10 papers
Asymptotic of Bergman Kernel (Master Thesis)
Yu-Chi Hou
In this master thesis, we give a new proof on the pointwise asymptotic expansion for Bergman kernel of a hermitian holomorphic line bundle on the points where the curvature of the…
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…
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…
The algebro-geometric solutions for Hunter-Saxton hierarchy
Yu Hou, Engui Fan, Peng Zhao
This paper is dedicated to provide theta function representation of algebro-geometric solutions and related crucial quantities for the Hunter-Saxton (HS) hierarchy through studying…
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…
The coupled Schodinger hierarchy associated with third-order algebraic curves and algebro-geometric solutions
Yu Hou, Engui Fan
By introducing Lenard recursion equations, we derive a general coupled nonlinear Schdinger (CNLS) hierarchy associated with well-known Manakov system and Sasa-Sa…
The Algebro-Geometric Solutions for the Ruijsenaars-Toda Hierarchy
Peng Zhao, Engui Fan, Yu Hou
We provide a detailed treatment of Ruijsenaars-Toda (RT) hierarchy with special emphasis on its the theta function representation of all algebro-geometric solutions. The basic tool…
The algebro-geometric solutions for Degasperis-Procesi hierarchy
Yu Hou, Peng Zhao, Engui Fan +1
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operat…