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math.AP2025
Ground States for the Nonlinear Schr{ö}dinger Equation on Open Books and Dimensional Reduction to Metric Graphs
Stefan Le Coz, Boris Shakarov
In this work, we study the dimensional reduction of stationary states in the shrinking limit for a broad class of two-dimensional domains, called open books, to their counterparts…
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…