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dc.contributor.authorRogers, Colin
dc.contributor.authorSaccomandi, Giuseppe
dc.contributor.authorVergori, Luigi
dc.date.accessioned2018-09-20T16:23:09Z
dc.date.available2018-09-20T16:23:09Z
dc.date.issued2016-01-02
dc.identifier.citationRogers, Colin; Saccomandi, Giuseppe; Vergori, Luigi (2016). Ermakov-modulated nonlinear schrödinger models. integrable reduction. Journal of Nonlinear Mathematical Physics 23 (1), 108-126
dc.identifier.issn1402-9251,1776-0852
dc.identifier.urihttp://hdl.handle.net/10379/13693
dc.description.abstractNonlinear Schrodinger equations with spatial modulation associated with integrable Hamiltonian systems of Ermakov-Ray-Reid type are introduced. An algorithmic procedure is presented which exploits invariants of motion to construct exact wave packet representations with potential applications in a wide range of physical contexts such as, 'inter alia', the analysis of Bloch wave and matter wave solitonic propagation and pulse transmission in Airy modulated NLS models. A particular Ermakov reduction for Mooney-Rivlin materials is set in the broader context of transverse wave propagation in a class of higher-order hyperelastic models of incompressible solids.
dc.publisherInforma UK Limited
dc.relation.ispartofJournal of Nonlinear Mathematical Physics
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectnonlinear schodinger models
dc.subjectermakov reduction
dc.subjectnonlinear waves
dc.subjectelliptic gaussian beams
dc.subjectshallow-water theory
dc.subjectradial propagation
dc.subjectwave propagation
dc.subjectspatial solitons
dc.subjectelastic-material
dc.subjectoperator method
dc.subjectshear-waves
dc.subjectmedia
dc.subjectsystems
dc.titleErmakov-modulated nonlinear schrödinger models. integrable reduction
dc.typeArticle
dc.identifier.doi10.1080/14029251.2016.1135645
dc.local.publishedsourcehttp://eprints.gla.ac.uk/111774/7/111774.pdf
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