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

Ankiewicz, Adrian; Akhmediev, Nail

Description

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...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
URI: http://hdl.handle.net/1885/16203
Source: Chaos: An Interdisciplinary Journal of Nonlinear Science
DOI: 10.1063/1.2976628

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