Comparison of Lagrangian approach and method of moments for reducing dimensionality of soliton dynamical systems
dc.contributor.author | Ankiewicz, Adrian | |
dc.contributor.author | Akhmediev, Nail | |
dc.date.accessioned | 2015-11-02T01:59:52Z | |
dc.date.available | 2015-11-02T01:59:52Z | |
dc.date.issued | 2008 | |
dc.date.updated | 2015-12-08T03:33:51Z | |
dc.description.abstract | For 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.issn | 1054-1500 | en_AU |
dc.identifier.uri | http://hdl.handle.net/1885/16203 | |
dc.publisher | American Institute of Physics (AIP) | |
dc.rights | Copyright 2008 American Institute of Physics. | |
dc.source | Chaos: An Interdisciplinary Journal of Nonlinear Science | |
dc.subject | computer simulation | |
dc.subject | oscillometry | |
dc.subject | algorithms | |
dc.subject | models, theoretical | |
dc.subject | nonlinear dynamics | |
dc.title | Comparison of Lagrangian approach and method of moments for reducing dimensionality of soliton dynamical systems | |
dc.type | Journal article | |
local.bibliographicCitation.issue | 3 | en_AU |
local.bibliographicCitation.startpage | 033129 | en_AU |
local.contributor.affiliation | Ankiewicz, Adrian, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Department of Theoretical Physics, The Australian National University | en_AU |
local.contributor.affiliation | Akhmediev, Nail, College of Physical and Mathematical Sciences, CPMS Research School of Physics and Engineering, Department of Theoretical Physics, The Australian National University | en_AU |
local.contributor.authoremail | adrian.ankiewicz@anu.edu.au | en_AU |
local.contributor.authoruid | u8204998 | en_AU |
local.description.notes | Imported from ARIES | en_AU |
local.identifier.absfor | 020501 | en_AU |
local.identifier.ariespublication | u4039210xPUB41 | en_AU |
local.identifier.citationvolume | 18 | en_AU |
local.identifier.doi | 10.1063/1.2976628 | en_AU |
local.identifier.essn | 1089-7682 | en_AU |
local.identifier.scopusID | 2-s2.0-54749101558 | |
local.identifier.thomsonID | 000260027300029 | |
local.identifier.uidSubmittedBy | u3488905 | en_AU |
local.publisher.url | https://www.aip.org/ | en_AU |
local.type.status | Published Version | en_AU |
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