11 citations · 11 across the 3 of their papers we have counts for
3 papers
Ground States of the Nonlinear Schr{ö}dinger Equation on the Tadpole Graph with a Repulsive Delta Vertex Condition
Romain Duboscq, Élio Durand-Simonnet, Stefan Le Coz
We consider the stationary nonlinear Schr{ö}dinger equation set on a tadpole graph with a repulsive delta vertex condition between the loop and the tail of the tadpole. We establis…
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library
Christophe Besse, Romain Duboscq, Stefan Le Coz
Nonlinear quantum graphs are metric graphs equipped with a nonlinear Schr{ö}dinger equation. Whereas in the last ten years they have known considerable developments on the theoreti…
Multi-speed solitary waves of nonlinear Schr{ö}dinger systems: theoretical and numerical analysis
Fanny Delebecque, Stefan Le Coz, Rada-Maria Weishäupl
We consider a system of coupled nonlinear Schr{ö}dinger equations in one space dimension. First, we prove the existence of multi-speed solitary waves, i.e solutions to the system w…