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Phys Rev Lett. 2000 Jun 19;84(25):5760-3. doi: 10.1103/PhysRevLett.84.5760.

Dispersion-induced dynamical transition in parametric solitary waves.

Physical review letters

A Picozzi, M Haelterman

Affiliations

  1. CNRS, Laboratoire de Physique de la Matiére Condensée, Université de Nice Sophia-Antipolis, 06108 Nice, France.

PMID: 10991048 DOI: 10.1103/PhysRevLett.84.5760

Abstract

We investigate the influence of dispersion on parametric solitary waves. We show that dispersion is responsible for a transition towards a new type of dynamical solitary wave characterized by the presence of traveling phase defect arrays within their envelopes. The transition is described analytically through an original extension of the Kolmogorov-Petrovskii-Piskunov approach to front propagation into unstable states.

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