Dissipative solitons under the action of the 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	2014-03-01T01:14:31Z
dc.date.available	2014-03-01T01:14:31Z
dc.date.issued	1999	en
dc.identifier.issn	1063-651X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13123
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	article	en
dc.title	Dissipative solitons under the action of the third-order dispersion	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevE.60.3324	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevE.60.3324	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	We study the evolution of a solitary pulse in the cubic complex Ginzburg-Landau equation, including the third-order dispersion (TOD) as a small perturbation. We develop analytical approximations, which yield a TOD-induced velocity c of the pulse as a function of the ratio D of the second-order dispersion and filtering coefficients. The analytical predictions show agreement with the direct numerical simulations for two dinstict intervals of D. A new feature of the pulse motion, which is a precursor of the transition to blowup, is presented: The pulse suddenly acquires a large acceleration in the reverse direction at D > D-cr approximate to -1.5 and without the reversal at D < D-cr. It is also demonstrated that the laminar-propagation distance L (before the onset of the ultimate turbulent stage) becomes maximum deep inside the normal-dispersion region, while TOD significantly increases L in the anomalous-dispersion region, where, otherwise, it is quite small. The model has a straightforward physical realization in terms of nonlinear optical fibers with losses and bandwidth-limited amplification (gain and filtering). [S1063-651X(99)07709-0].	en
heal.publisher	AMERICAN PHYSICAL SOC	en
heal.journalName	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics	en
dc.identifier.doi	10.1103/PhysRevE.60.3324	en
dc.identifier.isi	ISI:000082778200116	en
dc.identifier.volume	60	en
dc.identifier.issue	3	en
dc.identifier.spage	3324	en
dc.identifier.epage	3331	en