Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
This is the pre-published version harvested from arXiv. The published version is located at http://dx.doi.org/10.1016/j.physleta.2010.01.004
We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. Two short-pulse equations (SPEs) are derived for the high- and low-frequency “band gaps” (where linear electromagnetic waves are evanescent) with linear effective permittivity <0 and permeability>μ>0. The structure of the solutions of the SPEs is also briefly discussed, and connections with the soliton solutions of the nonlinear Schrödinger equation are made.
NL Tsitsas, TR Horikis, Y Shen, Panayotis Kevrekidis, N Whitaker, and DJ Frantzeskakis. "Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials" Physics Letters A 374.11-12 (2010): 1384-1388.
Available at: http://works.bepress.com/panos_kevrekidis/163