3 papers
math.AP2025
Analysis of quasi-periodic waves of cubic nonlinear Schr{ö}dinger equations
Perla Kfoury, Stefan Le Coz, Tai-Peng Tsai
We study the quasi-periodic standing wave solutions of the focusing and defocusing cubic nonlinear Schr{ö}dinger equations in dimension one. In the defocusing case, we establish a…
math.AP2024
Variational properties of space-periodic standing waves of nonlinear Schr{ö}dinger equations with general nonlinearities
Perla Kfoury, Stefan Le Coz
Periodic waves are standing wave solutions of nonlinear Schr\''odinger equations whose profile is periodic in space dimension one. We consider general nonlinearities and provide va…
math.AP2021
Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schr{ö}dinger equation
Perla Kfoury, Stefan Le Coz, Tai-Peng Tsai
For the double power one dimensional nonlinear Schr{ö}dinger equation, we establish a complete classification of the stability or instability of standing waves with positive freque…