Marklund Mattias, Shukla Padma K, Stenflo Lennart
Department of Physics, Umeå University, SE-901 87 Umeå, Sweden.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Mar;73(3 Pt 2):037601. doi: 10.1103/PhysRevE.73.037601. Epub 2006 Mar 14.
We present a stability analysis of a modified nonlinear Schrödinger equation describing the propagation of ultrashort pulses in negative refractive index media. Moreover, using methods of quantum statistics, we derive a kinetic equation for the pulses, making it possible to analyze and describe partial coherence in metamaterials. It is shown that a unique short pulse soliton, which is found analytically, can propagate in the medium.