26 citations · 36 across the 10 of their papers we have counts for
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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…
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…