78 citations · 365 across the 100 of their papers we have counts for
8 papers · 1 filter
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…
Long-time asymptotic for the derivative nonlinear Schrödinger equation with decaying initial value
Jian Xu, Engui Fan
We present a new Riemann-Hilbert problem formalism for the initial value problem for the derivative nonlinear Schrödinger (DNLS) equation on the line. We show that the solution of…
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 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…
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…