Instabilities of higher-order parametric solitons: filamentation versus coalescence

Dmitry V. Skryabin; William J. Firth

doi:10.1103/PhysRevE.58.R1252

Instabilities of higher-order parametric solitons: filamentation versus coalescence

Dmitry V. Skryabin, William J. Firth

Physics

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

36 Downloads (Pure)

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 the existence of two qualitatively different behaviors. For positive phase mismatch the rings break up into filaments that move radially to the initial ring. For sufficient negative mismatches rings are found to coalesce with the central peak, forming a single oscillating filament.

Original language	English
Pages (from-to)	R1252 -R1255
Number of pages	4
Journal	Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	58
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.58.R1252
Publication status	Published - Aug 1998

Keywords

stability
dynamics
solitary waves
quadratic media
oscillating filament

Access to Document

10.1103/PhysRevE.58.R1252

strathprints006473Accepted author manuscript, 182 KB

Cite this

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title = "Instabilities of higher-order parametric solitons: filamentation versus coalescence",

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 the existence of two qualitatively different behaviors. For positive phase mismatch the rings break up into filaments that move radially to the initial ring. For sufficient negative mismatches rings are found to coalesce with the central peak, forming a single oscillating filament.",

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AU - Firth, William J.

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AB - 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 the existence of two qualitatively different behaviors. For positive phase mismatch the rings break up into filaments that move radially to the initial ring. For sufficient negative mismatches rings are found to coalesce with the central peak, forming a single oscillating filament.

KW - stability

KW - dynamics

KW - solitary waves

KW - quadratic media

KW - oscillating filament

U2 - 10.1103/PhysRevE.58.R1252

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SP - R1252 -R1255

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