Stabilization of ultra-short pulses in cubic nonlinear media
Exactly Solvable and Integrable Systems
2007-05-23 v2 Pattern Formation and Solitons
Abstract
We study the propagation of ultra-short pulses in a cubic nonlinear medium. Using multiple-scale technique, we derive a new wave equation that preserves the nonlocal dispersion present in Maxwell's equations. As a result, we are able to understand how ultra-short nonlinear shocks are stabilized by dispersive terms. A delicate balance between dispersion and nonlinearity leads to a new type of solitary waves. Their stability is confirmed by numerical simulations of full Maxwell's equations.
Keywords
Cite
@article{arxiv.nlin/0512029,
title = {Stabilization of ultra-short pulses in cubic nonlinear media},
author = {Y. Chung and T. Schaefer},
journal= {arXiv preprint arXiv:nlin/0512029},
year = {2007}
}