4 papers
Homoclinics, rogue waves and breathers in nonlinear lattice wave equations
Julia Henninger, Wolfgang Reichel
We prove the existence of rogue waves and breathers in nonlinear lattice wave equations including the nonlinear Klein--Gordon and the FPUT lattice (with added local forces). The ma…
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}^…
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…
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…