Starting from Maxwell's equations, we use the reductive perturbation method to derive a second-order and a third-order nonlinear Schrodinger 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.
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Tsitsas, N. L., Rompotis, N., Kourakis, Y., Kevrekidis, P. G., & Frantzeskakis, D. J. (2009). Higher-order effects and ultrashort solitons in left-handed metamaterials. Physical Review E, 79(3), . https://doi.org/10.1103/PhysRevE.79.037601