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Updated: Aug 6, 2026

Investigation of Early Plasma Evolution Induced by Ultrashort Laser Pulses
Published on: July 2, 2012
Evolution of localized pulses in the defocusing modified Korteweg-de Vries equation theory
L F Calazans de Brito1, A Gammal1, A M Kamchatnov2,3
1Universidade de São Paulo, Instituto de Física, 05508-090 São Paulo, SP, Brazil.
Abstract:
In this work, we develop, in the Gurevich-Pitaevskii framework, an analytic theory for the evolution of localized pulses in the defocusing modified Korteweg-de Vries equation theory for situations when a dispersive shock does not eventually transform into a sequence of well-separated solitons. We found solutions to the Whitham modulation equations for the corresponding "quasisimple" dispersive shock waves and illustrated this solution with concrete examples of an initial pulse. Comparison of the analytical solution with direct numerical simulations showed that the modulation theory provides a very accurate description of the wave pattern even at one wavelength scale.
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