Phase plane Stäckel potential dynamics of the Manakov system

Polymilis, C; Hizanidis, K; Frantzeskakis, DJ

dc.contributor.author	Polymilis, C	en
dc.contributor.author	Hizanidis, K	en
dc.contributor.author	Frantzeskakis, DJ	en
dc.date.accessioned	2014-03-01T01:14:02Z
dc.date.available	2014-03-01T01:14:02Z
dc.date.issued	1998	en
dc.identifier.issn	1063-651X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12833
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	BIREFRINGENT OPTICAL FIBERS	en
dc.subject.other	NONLINEAR DISPERSIVE MEDIA	en
dc.subject.other	ION-ACOUSTIC-WAVES	en
dc.subject.other	SCHRODINGER-EQUATIONS	en
dc.subject.other	SOLITARY WAVES	en
dc.subject.other	2-MODE FIBERS	en
dc.subject.other	SOLITONS	en
dc.subject.other	PROPAGATION	en
dc.subject.other	STABILITY	en
dc.subject.other	INTEGRABILITY	en
dc.title	Phase plane Stäckel potential dynamics of the Manakov system	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevE.58.1112	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevE.58.1112	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A wide class of traveling-wave solutions of the Manakov system of coupled nonlinear Schrödinger equations is found to possess a potential which leads to separability in the Stäckel sense exhibiting two integrals of motion, which facilitates a thorough investigation of this system by nonlinear dynamics phase plane methods. On this basis, specific types of nonlinear waves are identified via a complete phase space trajectory investigation. The topological features of the phase space structure and the asymptotic behavior of the trajectory families involved are studied. Time domain analytical solutions are provided involving hyperelliptic integrals and their series expressions of the latter, in terms of the three elliptic integrals. Among the trajectory families, solitary-type envelope solutions to the Manakov system are easily identified on the basis of a limited number of parameters.	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.58.1112	en
dc.identifier.isi	ISI:000074893400139	en
dc.identifier.volume	58	en
dc.identifier.issue	1	en
dc.identifier.spage	1112	en
dc.identifier.epage	1124	en