26 citations · 36 across the 10 of their papers we have counts for
10 papers
Riemann-Hilbert problem associated with the fourth-order dispersive nonlinear Schrödinger equation in optics and magnetic mechanics
Beibei Hu, Ling Zhang, Qinghong Li +1
In this paper, we utilize Fokas method to investigate the initial-boundary value problems (IBVPs) of the fourth-order dispersive nonlinear Schrödinger (FODNLS) equation on the half…
The initial-boundary value problems for the coupled derivative nonlinear Schrödinger equations on the half-line
Beibei Hu, Tiecheng Xia, Ning Zhang
The unified transform method is used to analyze the initial-boundary value problem for the coupled derivative nonlinear Schrödinger(CDNLS) equations on the half-line. In this paper…
The Novel Symmetry Constraint and Binary Nonlinearization of the Super Generalized Broer-Kaup Hierarchy with Self-consistent Sources and Conservation Laws
Beibei Hu, Fang Fang, Ning Zhang
The super generalized Broer-Kaup(gBK) hierarchy and its super Hamiltonian structure are established based on a loop super Lie algebra and super-trace identity. Then the self-consis…
Riemann-Hilbert approach for a mixed coupled nonlinear Schrödinger system and its soliton solutions
Fang Fang, Beibei Hu, Ling Zhang +1
In this work, we examine the integrable mixed coupled nonlinear Schrödinger (mCNLS) system, which describe the propagation of an optical pulse in a birefringent optical fiber. By t…
Riemann-Hilbert method and soliton solutions in the system of two-component Hirota equations
Fang Fang, Beibei Hu, Ling Zhang +1
In this letter we examine the two-component Hirota (TH) equations which describes the pulse propagation in a coupled fiber with higher-order dispersion and self-steepening. As the…
A Riemann-Hilbert Approach to the Kundu-Eckhaus Equation on the half-Line
Beibei Hu, Tiecheng Xia, Ning Zhang
In this paper, we consider the initial-boundary value problem of the Kundu-Eckhaus equation on the half-line by using of the Fokas unified transform method. Assuming that the solut…
A Riemann-Hilbert Approach to the Complex Sharma-Tasso-Olver Equation on the Half Line
Ning Zhang, Tiecheng Xia, Beibei Hu
In this paper, we use the Fokas method to analyze the complex Sharma-Tasso-Olver(cSTO) equation on the half line. We show that it can be represented in terms of the solution of a m…
Homogenization of elliptic equations with large random potential
Guillaume Bal, Ningyao Zhang
We consider an elliptic equation with purely imaginary, highly heterogeneous, and large random potential with a sufficiently rapidly decaying correlation function. We show that its…
Convergence to SPDE of the Schrodinger equation with large, random potential
Ningyao Zhang, Guillaume Bal
We study the asymptotic behavior of solutions to the Schr{ö}dinger equation with large-amplitude, highly oscillatory, random potential. In dimension , where $\mathf…
Homogenization of the Schroedinger equation with large, random potential
Ningyao Zhang, Guillaume Bal
We study the behavior of solutions to a Schr{ö}dinger equation with large, rapidly oscillating, mean zero, random potential with Gaussian distribution. We show that in high dimensi…