Tsitsas N L, Rompotis N, Kourakis I, Kevrekidis P G, Frantzeskakis D J
School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zografos, Athens 15773, Greece.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Mar;79(3 Pt 2):037601. doi: 10.1103/PhysRevE.79.037601. Epub 2009 Mar 19.
Starting from Maxwell's equations, we use the reductive perturbation method to derive a second-order and a third-order nonlinear Schrödinger equation, describing ultrashort solitons in nonlinear left-handed metamaterials. We find necessary conditions and derive exact bright and dark soliton solutions of these equations for the electric and magnetic field envelopes.
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