Stabilization of dark solitons in the cubic Ginzburg-Landau equation

Efremidis, N; Hizanidis, K; Nistazakis, HE; Frantzeskakis, DJ; Malomed, BA

dc.contributor.author	Efremidis, N	en
dc.contributor.author	Hizanidis, K	en
dc.contributor.author	Nistazakis, HE	en
dc.contributor.author	Frantzeskakis, DJ	en
dc.contributor.author	Malomed, BA	en
dc.date.accessioned	2014-03-01T01:15:53Z
dc.date.available	2014-03-01T01:15:53Z
dc.date.issued	2000	en
dc.identifier.issn	1063-651X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13802
dc.subject	ginzburg-landau equation	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	2-COMPONENT ACTIVE SYSTEMS	en
dc.subject.other	NONLINEAR GAIN	en
dc.subject.other	HOLE SOLUTIONS	en
dc.subject.other	SPATIOTEMPORAL INTERMITTENCY	en
dc.subject.other	STABILITY	en
dc.subject.other	TRANSMISSION	en
dc.subject.other	PULSES	en
dc.title	Stabilization of dark solitons in the cubic Ginzburg-Landau equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevE.62.7410	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevE.62.7410	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	The existence and stability of exact continuous-wave and dark-soliton solutions to a system consisting of the cubic complex Ginzburg-Landau (CGL) equation linearly coupled with a linear dissipative equation is studied. We demonstrate the existence of vast regions in the system's parameter space associated with stable dark-soliton solutions, having the form of the Nozaki-Bekki envelope holes, in contrast to the case of the conventional CGL equation, where they are unstable. In the case when the dark soliton is unstable, two different types of instability are identified. The proposed stabilized model may be realized in terms of a dual-core nonlinear optical fiber, with one core active and one passive.	en
heal.publisher	AMERICAN PHYSICAL SOC	en
heal.journalName	PHYSICAL REVIEW E	en
dc.identifier.doi	10.1103/PhysRevE.62.7410	en
dc.identifier.isi	ISI:000165341900084	en
dc.identifier.volume	62	en
dc.identifier.issue	5	en
dc.identifier.spage	7410	en
dc.identifier.epage	7414	en