78 citations · 365 across the 100 of their papers we have counts for
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Reality problems for the Algebro-Geometric Solutions of Fokas-Lenell hierarchy
Peng Zhao, Engui Fan
In a previous study, we obtained the algebro-geometric solutions and -dark solitons of Forkas-Lenells (FL) hierarchy using algebro-geometric method. In this paper, we construct…
Leading-order temporal asymptotics of the Fokas-Lenells Equation without solitons
Jian Xu, Engui Fan
We use the Deift-Zhou method to obtain, in the solitonless sector, the leading order asymptotic of the solution to the Cauchy problem of the Fokas-Lenells equation as $t\ra+\infty$…
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 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(…