Stochastic and Higher-Order Effects on Exploding Pulses

The influence of additive noise, multiplicative noise, and higher-order effects on exploding solitons in the framework of the prototype complex cubic-quintic Ginzburg-Landau equation is studied. Transitions from explosions to filling-in to the noisy spatially homogeneous finite amplitude solution, c...

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Bibliographic Details
Published inApplied sciences Vol. 7; no. 9; p. 887
Main Authors Descalzi, Orazio, Cartes, Carlos
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 30.08.2017
Subjects
exploding solitons
Explosions
Ginzburg-Landau equation
Landau-Ginzburg equations
Lasers
mode-locked fiber lasers
Noise
Normal distribution
Numerical analysis
Partial differential equations
Solitary waves
Stochasticity
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Summary:The influence of additive noise, multiplicative noise, and higher-order effects on exploding solitons in the framework of the prototype complex cubic-quintic Ginzburg-Landau equation is studied. Transitions from explosions to filling-in to the noisy spatially homogeneous finite amplitude solution, collapse (zero solution), and periodic exploding dissipative solitons are reported.
ISSN:2076-3417
2076-3417
DOI:10.3390/app7090887