Solitary wave interactions with continuous waves

Kominis, Y; Hizanidis, K

dc.contributor.author	Kominis, Y	en
dc.contributor.author	Hizanidis, K	en
dc.date.accessioned	2014-03-01T01:25:10Z
dc.date.available	2014-03-01T01:25:10Z
dc.date.issued	2006	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17573
dc.subject	Nonlinear wave propagation	en
dc.subject	Solitons	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	Computer simulation	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Nonlinear optics	en
dc.subject.other	Solitons	en
dc.subject.other	Topology	en
dc.subject.other	Velocity measurement	en
dc.subject.other	Nonlinear wave propagation	en
dc.subject.other	Solitary wave propagation	en
dc.subject.other	Velocity variations	en
dc.subject.other	Wave propagation	en
dc.title	Solitary wave interactions with continuous waves	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0218127406015659	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127406015659	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Solitary wave propagation under interaction with continuous waves is studied in the context of the Nonlinear Schrödinger Equation. An analytical approach, based on the conserved quantities of the wave evolution, is used to study transverse velocity variations for the case of nonzero transverse wavenumber difference between the solitary and continuous waves. The method is applicable for any number of transverse dimensions and any kind of nonlinearity. Moreover, the presence of a coherent continuous background is shown to be responsible for the creation of solitary rings and spirals, under interaction with solitary structures with nonzero topological charge. Numerical simulations for specific cases were used to confirm the analytical results. © World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Bifurcation and Chaos	en
dc.identifier.doi	10.1142/S0218127406015659	en
dc.identifier.isi	ISI:000240416300011	en
dc.identifier.volume	16	en
dc.identifier.issue	6	en
dc.identifier.spage	1753	en
dc.identifier.epage	1764	en