2 citations · 2 across the 5 of their papers we have counts for
5 papers
The unified method for the three-wave equation on the half-line
Jian Xu, Engui Fan
We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the three-wave equation: \[p_{ij,t}-\frac{b_i-b_j}{a_i-a_j}p_{ij,x}+\sum_k(\frac{b_k-b_j}{…
Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value
Jian Xu, Engui Fan
We consider the Cauchy problem for the Gerdjikov-Ivanov(GI) type of the derivative nonlinear Schrödinger (DNLS) equation: with…
The Fokas method to the Sasa-Satsuma equation on the half-line
Jian Xu, Engui Fan
We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the Sasa-Satsuma(SS) equation: $iq_T+\frac{1}{2}q_{XX}+|q|^2q+i\eps (q_{XXX}+6|q|^2q_X+3q(…
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…