3 papers
math.AP2025
Breather solutions for semilinear wave equations
Julia Henninger, Sebastian Ohrem, Wolfgang Reichel
We prove existence of real-valued, time-periodic and spatially localized solutions (breathers) of semilinear wave equations on $\mathbb{R}^…
math.AP2025
Travelling breather solutions in waveguides for cubic nonlinear Maxwell equations with retarded material laws
Sebastian Ohrem, Wolfgang Reichel
For Maxwell's equations with nonlinear polarization we prove the existence of time-periodic breather solutions travelling along slab or cylindrical waveguides. The solutions are TE…
math.AP2024
Existence of traveling breather solutions to cubic nonlinear Maxwell equations in waveguide geometries
Sebastian Ohrem, Wolfgang Reichel
We consider the full set of Maxwell equations in a slab or cylindrical waveguide with a cubically nonlinear material law for the polarization of the electric field. The nonlinear p…