Comparison of Lagrangian approach and method of moments for reducing dimensionality of soliton dynamical systems

dc.contributor.authorAnkiewicz, Adrian
dc.contributor.authorAkhmediev, Nail
dc.date.accessioned2015-11-02T01:59:52Z
dc.date.available2015-11-02T01:59:52Z
dc.date.issued2008
dc.date.updated2015-12-08T03:33:51Z
dc.description.abstractFor equations that cannot be solved exactly, the trial function approach to modelling soliton solutions represents a useful approximate technique. It has to be supplemented with the Lagrangian technique or the method of moments to obtain a finite dimensional dynamical system which can be analyzed more easily than the original partial differential equation. We compare these two approaches. Using the cubic-quintic complex Ginzburg-Landau equation as an example, we show that, for a wide class of plausible trial functions, the same system of equations will be obtained. We also explain where the two methods differ.
dc.identifier.issn1054-1500en_AU
dc.identifier.urihttp://hdl.handle.net/1885/16203
dc.publisherAmerican Institute of Physics (AIP)
dc.rightsCopyright 2008 American Institute of Physics.
dc.sourceChaos: An Interdisciplinary Journal of Nonlinear Science
dc.subjectcomputer simulation
dc.subjectoscillometry
dc.subjectalgorithms
dc.subjectmodels, theoretical
dc.subjectnonlinear dynamics
dc.titleComparison of Lagrangian approach and method of moments for reducing dimensionality of soliton dynamical systems
dc.typeJournal article
local.bibliographicCitation.issue3en_AU
local.bibliographicCitation.startpage033129en_AU
local.contributor.affiliationAnkiewicz, Adrian, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Department of Theoretical Physics, The Australian National Universityen_AU
local.contributor.affiliationAkhmediev, Nail, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Department of Theoretical Physics, The Australian National Universityen_AU
local.contributor.authoremailadrian.ankiewicz@anu.edu.auen_AU
local.contributor.authoruidu8204998en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor020501en_AU
local.identifier.ariespublicationu4039210xPUB41en_AU
local.identifier.citationvolume18en_AU
local.identifier.doi10.1063/1.2976628en_AU
local.identifier.essn1089-7682en_AU
local.identifier.scopusID2-s2.0-54749101558
local.identifier.thomsonID000260027300029
local.identifier.uidSubmittedByu3488905en_AU
local.publisher.urlhttps://www.aip.org/en_AU
local.type.statusPublished Versionen_AU

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