Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence

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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.
5 pages, 7 figures

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Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/83326

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/patt-sol/9906007
 http://arxiv.org/abs/patt-sol/9906007
 Physical Review E, 1998, vol. 58, No. 2, pp. R1252-R1255

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arXiv