4 papers · 1 filter
Breather solutions to nonlinear Maxwell equations with retarded material laws
Sebastian Ohrem
We consider Maxwell's equations for Kerr-type optical materials, which are magnetically inactive and have a nonlinear response to electric fields. This response consists of a linea…
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…