54 citations · 155 across the 11 of their papers we have counts for
11 papers
Nonlinearity-Induced Thouless Pumping in Quasiperiodic Lattices
Xiao-Xiao Hu, Dun Zhao, Hong-Gang Luo
Nonlinear Thouless pumping has been established in periodic lattices; its counterpart in quasiperiodic lattices remains unexplored. Here, we show a nonlinear topological pumping of…
Well-posedness and scattering of odd solutions for the defocusing INLS in one dimension
Zhi-Yuan Cui, Yuan Li, Dun Zhao
We consider the defocusing inhomogeneous nonlinear Schrödinger equation where and . This problem has been extensively studied…
Decay of solutions to one-dimensional inhomogeneous nonlinear Schrödinger equations
Zhi-Yuan Cui, Yuan Li, Dun Zhao
We investigate the decay estimates of global solutions for a class of one-dimensional inhomogeneous nonlinear Schrödinger equations. While most existing results focus on spatial di…
Concentration Behavior of Nonlinear Hartree-type Equation with almost Mass Critical Exponent
Yuan Li, Dun Zhao, Qingxuan Wang
We study the following nonlinear Hartree-type equation \begin{equation*} -Δu+V(x)u-a(\frac{1}{|x|^γ}\ast |u|^2)u=λu,~\text{in}~\mathbb{R}^N, \end{equation*} where , ,…
Inhomogeneous spin domain induced by the quadratic Zeeman effect in spin-1 Bose-Einstein condensate
Dun Zhao, Shu-Wei Song, Lin Wen +3
We show two kinds of inhomogeneous spin domain possessing Néel-like domain walls in spin-1 Bose-Einstein condensate, which are induced by the positive and negative quadratic Zeeman…
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…