4 papers · 1 filter
A Parameterization of Small Amplitude KP Finite Gap Solutions via Classical Schottky Uniformization and Persistence of One and Two Gap Solutions
Haoxuan Liu, Zuhong You, Xiaoping Yuan
We develop a parameterization of small amplitude finite gap solutions to the KP equation with prescribed spatial wavenumber vectors using classical Schottky uniformization. This pa…
On the construction of almost periodic solutions for the derivative nonlinear Schrödinger equation
Yuchen WU, Xiaoping Yuan
In this paper, we consider a derivative nonlinear Schrödinger equation on the torus $…
Anderson localization for 1-d quasi-periodic Schrödinger operators with degenerate weights
Yingdu Dong, Haoxuan Liu, Zuhong You +1
We establish Anderson localization for 1-d discrete Schrödinger operators with positive weights. The distinctive feature of this work lies in the degeneracy of the weights, with bo…
Quasi-periodic Dynamics for Multi-dimensional Quasi-linear Schrödinger Equations via Resonant Mode Control
Zuhong You, Xiaoping Yuan
This paper focuses on the problem of quasi-periodic solutions for multi-dimensional quasi-linear Schrödinger equation. To address the challenge of unbounded perturbations caused by…