Dun Zhao

collaborators

3 papers

quant-ph2026

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…

math.AP2025

Decay of solutions to one-dimensional inhomogeneous nonlinear SchrÃ¶dinger equations

Zhi-Yuan Cui, Yuan Li, Dun Zhao

We investigate the decay estimates of global solutions for a class of one-dimensional inhomogeneous nonlinear SchrÃ¶dinger equations. While most existing results focus on spatial d…

math.AP2025

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 SchrÃ¶dinger equation $i \partial_{t} u + I^ u = ∣ x ∣^{- b} ∣ u ∣^{I^} \pm u,$ where $0 < b < 1$ and $0 < I^\pm < \infty$ . This problem has been extensively stu…