Ultra-short solitons and kinetic effects in nonlinear metamaterials

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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6 pages, 2 figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.73.037601

We present a stability analysis of a modified nonlinear Schroedinger equation describing the propagation of ultra-short 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 novel short pulse soliton, which is found analytically, can propagate in the medium.

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