Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence
patt-sol
2007-05-23 v1 Pattern Formation and Solitons
Abstract
We investigate stability and dynamics of higher-order solitary waves in quadratic media, which have a central peak and one or more surrounding rings. We show existence of two qualitatively different behaviours. For positive phase mismatch the rings break up into filaments which move radially to initial ring. For sufficient negative mismatches rings are found to coalesce with central peak, forming a single oscillating filament.
Keywords
Cite
@article{arxiv.patt-sol/9906007,
title = {Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence},
author = {Dmitry V. Skryabin and William J. Firth},
journal= {arXiv preprint arXiv:patt-sol/9906007},
year = {2007}
}
Comments
5 pages, 7 figures