78 citations · 365 across the 100 of their papers we have counts for
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Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background
Zhang Zechuan, Fan Engui
In this article, the inverse scattering transform is considered for the Gerdjikov-Ivanov equation with zero and non-zero boundary conditions by a matrix Riemann-Hilbert (RH) method…
Long-time asymptotic behavior of a mixed schrödinger equation with weighted Sobolev initial data
Qiaoyuan Cheng, Yiling Yang, Engui Fan
We apply steepest descent method to obtain sharp asymptotics for a mixed schrödinger equation $$q…
Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time
Qiaoyuan Cheng, Engui Fan
We study the long-time asymptotic behavior of the focusing Fokas-Lenells (FL) equation $$ u_{xt}+αβ^2u-2iαβu_x-αu_{xx}-iαβ^2|u|^2u_x=0 \label{cs} $$ with generic initial data in a…
Soliton Resolution for the Short-pluse Equation
Yiling Yang, Engui Fan
In this paper, we study the Cauchy problem for the focusing nonlinear short-pluse equation by using steepest descent method. \begin{align} &u_{xt}=u+\frac{1}{6}…
Critical edge behavior in the singularly perturbed Pollaczek-Jacobi type unitary ensemble
Zhaoyu Wang, Engui Fan
In this paper, we study the strong asymptotic for the orthogonal polynomials and universality associated with singularly perturbed Pollaczek-Jacobi type weight $$w_{p_J2}(x,t)=e^{-…