Dynamics of Pereira-Stenflo Solitons in the Presence of Third-Order Dispersion

Malomed, BA; Frantzeskakis, DJ; Nistazakis, HE; Tsigopoulos, A; Hizanidis, K

dc.contributor.author	Malomed, BA	en
dc.contributor.author	Frantzeskakis, DJ	en
dc.contributor.author	Nistazakis, HE	en
dc.contributor.author	Tsigopoulos, A	en
dc.contributor.author	Hizanidis, K	en
dc.date.accessioned	2014-03-01T01:14:32Z
dc.date.available	2014-03-01T01:14:32Z
dc.date.issued	1999	en
dc.identifier.issn	0281-1847	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13133
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.other	NONLINEAR SCHRODINGER-EQUATION	en
dc.subject.other	OPTICAL FIBERS	en
dc.subject.other	PROPAGATION	en
dc.subject.other	WAVELENGTH	en
dc.subject.other	PULSES	en
dc.subject.other	POINT	en
dc.subject.other	WAVES	en
dc.title	Dynamics of Pereira-Stenflo Solitons in the Presence of Third-Order Dispersion	en
heal.type	journalArticle	en
heal.identifier.primary	10.1238/Physica.Topical.082a00036	en
heal.identifier.secondary	http://dx.doi.org/10.1238/Physica.Topical.082a00036	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	Evolution of a solitary pulse in the cubic complex Ginzburg-Landau (CGL) equation, including third-order dispersion (TOD) as a small perturbation, is studied in detail. Starting from the exact Pereira-Stenflo soliton solution, we develop analytical approximations which yield an effective velocity c of the pulse induced by TOD. The analytical predictions are compared to direct numerical simulations, showing acceptable agreement at small values of the TOD parameter, provided that the second-order dispersion coefficient D takes values D > -3/2 or D < -30 (very different analytical approximations are used in these two cases). Between these regions, the numerically found dependence c(D) shows a very steep jump at D congruent to -3/2, and a less steep jump in the opposite direction at -30 < D < -20, each jump changing the sign of the velocity. The simulations also demonstrate that there is a maximum of the laminar propagation distance (before the onset of the ultimate turbulent stage) attained at D congruent to -18. The action of the sliding-frequency filtering on the soliton dynamics is also investigated numerically, and it is found that it slightly increases the laminar propagation distance.	en
heal.publisher	ROYAL SWEDISH ACAD SCIENCES	en
heal.journalName	Physica Scripta T	en
dc.identifier.doi	10.1238/Physica.Topical.082a00036	en
dc.identifier.isi	ISI:000082593500010	en
dc.identifier.volume	82	en
dc.identifier.spage	36	en
dc.identifier.epage	41	en