Solitary wave interactions with continuous waves

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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 http://hdl.handle.net/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.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

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