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.
- Received 26 August 2008
DOI:https://doi.org/10.1103/PhysRevE.79.037601
©2009 American Physical Society