title: Higher-order effects and ultrashort solitons in left-handed metamaterials.
abstract: 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.
authors.affiliation: School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zografos, Athens 15773, Greece.
authors.forename: N L
authors.initials: NL
authors.lastname: Tsitsas
authors.forename: N
authors.initials: N
authors.lastname: Rompotis
authors.forename: I
authors.initials: I
authors.lastname: Kourakis
authors.forename: P G
authors.initials: PG
authors.lastname: Kevrekidis
authors.forename: D J
authors.initials: DJ
authors.lastname: Frantzeskakis