2 citations · 4 across the 3 of their papers we have counts for
6 papers
On the standing waves for the X-ray free electron laser Schrödinger equation
Daomin Cao, Binhua Feng, Tingjian Luo
In this paper, we are concerned with the standing waves for the following nonlinear Schrödinger equation $$i\partial_{t}ψ=-Δψ+b^2(x_1^2+x_2^2)ψ+\frac{λ_1}{|x|}ψ+ λ_2(|\cdot|^{-1}\a…
Boson Stars with Long-range Perturbations
Qingxuan Wang, Binhua Feng, Yuan Li
We consider the Boson star equation with long-range perturbation given by $$i\partial_t ψ=\sqrt{-\triangle+m^2}\,ψ+β(\frac{1}{|x|^α}\ast |ψ|^2)ψ-(\frac{1}{|x|}\ast |ψ|^2)ψ \ \ \tex…
Normalized ground states for the fractional nonlinear Schrödinger equations
Binhua Feng, Jiajia Ren, Qingxuan Wang
In this paper, we study the existence and instability of standing waves with a prescribed -norm for the fractional Schrödinger equation \begin{equation} i\partial_{t}ψ=(-Δ)^{s…
On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
Binhua Feng
This paper is devoted to the analysis of blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities \[ i\partial_t u-(-Δ)^su+λ_1|u|…
On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
Binhua Feng
This paper is devoted to the analysis of blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities \[ iu_{t}+Δu=λ_1|u|^{p_1}u+λ_2|u|^{p_2}u.…
Optimal bilinear control of nonlinear Schrödinger equations with singular potentials
Binhua Feng, Dun Zhao, Pengyu Chen
In this paper, we consider an optimal bilinear control problem for the nonlinear Schrödinger equations with singular potentials. We show well-posedness of the problem and existence…