Analytic theory of narrow lattice solitons

Sivan, Y; Fibich, G; Efremidis, NK; Bar-Ad, S

dc.contributor.author	Sivan, Y	en
dc.contributor.author	Fibich, G	en
dc.contributor.author	Efremidis, NK	en
dc.contributor.author	Bar-Ad, S	en
dc.date.accessioned	2014-03-01T01:27:56Z
dc.date.available	2014-03-01T01:27:56Z
dc.date.issued	2008	en
dc.identifier.issn	0951-7715	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18639
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	NONLINEAR SCHRODINGER-EQUATIONS	en
dc.subject.other	WAVE-GUIDE ARRAYS	en
dc.subject.other	SOLITARY WAVES	en
dc.subject.other	BOUND-STATES	en
dc.subject.other	DISCRETE SOLITONS	en
dc.subject.other	OPTICAL LATTICES	en
dc.subject.other	SPATIAL SOLITONS	en
dc.subject.other	STABILITY THEORY	en
dc.subject.other	GROUND-STATES	en
dc.subject.other	MATTER WAVES	en
dc.title	Analytic theory of narrow lattice solitons	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0951-7715/21/3/008	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0951-7715/21/3/008	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centred at a lattice (potential) maximum or saddle point are unstable, as they drift towards the nearest lattice minimum. This instability can, however, be so weak that the soliton is 'mathematically unstable' but 'physically stable'. Stability of solitons centred at a lattice minimum depends on the dimension of the problem and on the nonlinearity. In the subcritical and supercritical cases, the lattice does not affect the stability, leaving the solitons stable and unstable, respectively. In contrast, in the critical case (e.g. a cubic nonlinearity in two transverse dimensions), the lattice stabilizes the (previously unstable) solitons. The stability in this case can be so weak, however, that the soliton is 'mathematically stable' but 'physically unstable'. © 2008 IOP Publishing Ltd and London Mathematical Society.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Nonlinearity	en
dc.identifier.doi	10.1088/0951-7715/21/3/008	en
dc.identifier.isi	ISI:000254305500010	en
dc.identifier.volume	21	en
dc.identifier.issue	3	en
dc.identifier.spage	509	en
dc.identifier.epage	536	en