Stabilization of ultra-short pulses in cubic nonlinear media

Details Stabilization of ultra-short pulses in cubic nonlinear media Stabilization of ultra-short pulses in cubic nonlinear media

2005-12-13

arxiv.org/abs/nlin/0512029v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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