Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence

Details Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence Instabilities of Higher-Order Parametric Solitons. Filamentation versus Coalescence

1999-06-05

arxiv.org/abs/patt-sol/9906007v1

Physical Review E, 1998, vol. 58, No. 2, pp. R1252-R1255

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, 7 figures

Scientific paper

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.

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