Special Session 117: Advances on nonlinear elliptic PDEs

Travelling waves for Maxwell`s equations in nonlinear and symmetric media

Jaroslaw Mederski
Institute of Mathematics, Polish Academy of Sciences
Poland
Co-Author(s):    Jacopo Schino
Abstract:
We look for travelling wave fields satisfying Maxwell equations in a nonlinear and cylindrically symmetric medium. We obtain a sequence of solutions with diverging energy. The solutions represent the so-called TM-modes.