The Hamiltonian perturbation approach of two interacting nonlinear waves or solitary pulses in an optical coupler

Kominis, Y; Hizanidis, K

dc.contributor.author	Kominis, Y	en
dc.contributor.author	Hizanidis, K	en
dc.date.accessioned	2014-03-01T01:18:25Z
dc.date.available	2014-03-01T01:18:25Z
dc.date.issued	2002	en
dc.identifier.issn	0167-2789	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14995
dc.subject	homoclinic orbit	en
dc.subject	Nonlinear Waves	en
dc.subject	Optical Fiber	en
dc.subject	Parametric Resonance	en
dc.subject	Perturbation Theory	en
dc.subject	Phase Space	en
dc.subject	Traveling Wave Solution	en
dc.subject	Wave Propagation	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Hamiltonians	en
dc.subject.other	Optical fibers	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Resonance	en
dc.subject.other	Waveguide couplers	en
dc.subject.other	Nonlinear waves	en
dc.subject.other	Solitary pulses	en
dc.subject.other	Nonlinear equations	en
dc.title	The Hamiltonian perturbation approach of two interacting nonlinear waves or solitary pulses in an optical coupler	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0167-2789(02)00551-1	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0167-2789(02)00551-1	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	The traveling-wave solutions dynamics of two linearly coupled nonlinear Schrodinger equations, describing the wave propagation in a dual-core optical fiber, is studied in the framework of the Hamiltonian perturbation theory. The surface of section of the phase space for each wave is obtained as a contour plot of an approximate invariant of the system and the phase space distortions due to the interaction are analyzed. Depending on the magnitude of the coupling strength, the parametric resonance involved leads to weak, strong and chaotic interactions. The coupling strength threshold above which the interaction between two nonlinear waves of given amplitude becomes chaotic is also estimated. On the other hand, the interaction of a solitary pulse with a nonlinear periodic wave is studied using the Melnikov method for homoclinic orbits. This interaction causes stochastization of the homoclinic orbit, which corresponds to the solitary pulse and the separatrix splitting as well as the width of the stochastic layer near this orbit is given in terms of the Melnikov function. The latter is applied in the case of two interacting solitary pulses as well. (C) 2002 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Physica D: Nonlinear Phenomena	en
dc.identifier.doi	10.1016/S0167-2789(02)00551-1	en
dc.identifier.isi	ISI:000180130200005	en
dc.identifier.volume	173	en
dc.identifier.issue	3-4	en
dc.identifier.spage	204	en
dc.identifier.epage	225	en