Stepanyants, Yury A. (2008) Solutions classification to the extended reduced Ostrovsky equation. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 4.

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Abstract
An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on the application of the qualitative theory of differential equations which includes a mechanical analogy with the point particle motion in a potential field, the phase plane method, analysis of homoclinic trajectories and the like. Such an approach is seemed more vivid and free of some restrictions contained in [SIGMA 4 (2008), 053, 17 pages].
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Item Type:  Article (Commonwealth Reporting Category C) 

Refereed:  Yes 
Publisher:  Institute of Mathematics of National Academy of Sciences of Ukraine 
Item Status:  Live Archive 
Additional Information (displayed to public):  The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons AttributionNonCommercialShareAlike Licence. 
Depositing User:  Assoc Prof Yury Stepanyants 
Faculty / Department / School:  Historic  Faculty of Sciences  Department of Maths and Computing 
Date Deposited:  30 Jan 2010 07:39 
Last Modified:  04 Nov 2014 06:21 
Uncontrolled Keywords:  reduced Ostrovsky equation; mechanical analogy; phase plane; periodic waves; solitary waves; compactons 
Fields of Research (FoR):  01 Mathematical Sciences > 0105 Mathematical Physics > 010599 Mathematical Physics not elsewhere classified 01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics 
SocioEconomic Objective (SEO):  E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences 
Identification Number or DOI:  doi: 10.3842/SIGMA.2008.073 
URI:  http://eprints.usq.edu.au/id/eprint/5725 
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