3 papers
math.AP2025
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…
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…