Instabilities of higher-order parametric solitons: filamentation versus coalescence

Dmitry V. Skryabin, William J. Firth

Research output: Contribution to journalArticle

22 Citations (Scopus)

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.
LanguageEnglish
PagesR1252 -R1255
Number of pages4
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number2
DOIs
Publication statusPublished - Aug 1998

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Filamentation
Coalescence
coalescing
Solitons
solitary waves
Higher Order
Ring
rings
Filament
filaments
Breakup
Solitary Waves
Sufficient

Keywords

  • stability
  • dynamics
  • solitary waves
  • quadratic media
  • oscillating filament

Cite this

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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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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.

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KW - solitary waves

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