Higher-order effects and ultrashort solitons in left-handed metamaterials

N. L. Tsitsas; N. Rompotis; I. Kourakis; P. G. Kevrekidis; D. J. Frantzeskakis

doi:10.1103/PhysRevE.79.037601

Higher-order effects and ultrashort solitons in left-handed metamaterials

N. L. Tsitsas
, N. Rompotis
, I. Kourakis
, P. G. Kevrekidis
, D. J. Frantzeskakis

Mathematics

National Technical University of Athens
Imperial College London
University of Massachusetts Amherst
University of Athens

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

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.

Original language	British English
Article number	037601
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	79
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.79.037601
State	Published - 3 Mar 2009

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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 Schr{\"o}dinger 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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AU - Tsitsas, N. L.

AU - Rompotis, N.

AU - Kourakis, I.

AU - Kevrekidis, P. G.

AU - Frantzeskakis, D. J.

PY - 2009/3/3

Y1 - 2009/3/3

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/64549129987

U2 - 10.1103/PhysRevE.79.037601

DO - 10.1103/PhysRevE.79.037601

M3 - Article

AN - SCOPUS:64549129987

SN - 1539-3755

VL - 79

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 3

M1 - 037601

ER -

Higher-order effects and ultrashort solitons in left-handed metamaterials

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