Stepanyants, Yury A. ORCID: https://orcid.org/0000000345460310 (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 
Item Status:  Live Archive 
Additional Information:  The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons AttributionNonCommercialShareAlike Licence. 
Faculty/School / Institute/Centre:  Historic  Faculty of Sciences  Department of Maths and Computing (Up to 30 Jun 2013) 
Faculty/School / Institute/Centre:  Historic  Faculty of Sciences  Department of Maths and Computing (Up to 30 Jun 2013) 
Date Deposited:  30 Jan 2010 07:39 
Last Modified:  15 Feb 2021 23:33 
Uncontrolled Keywords:  reduced Ostrovsky equation; mechanical analogy; phase plane; periodic waves; solitary waves; compactons 
Fields of Research (2008):  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 
Fields of Research (2020):  49 MATHEMATICAL SCIENCES > 4902 Mathematical physics > 490299 Mathematical physics not elsewhere classified 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490409 Ordinary differential equations, difference equations and dynamical systems 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics 
SocioEconomic Objectives (2008):  E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences 
Identification Number or DOI:  https://doi.org/10.3842/SIGMA.2008.073 
URI:  http://eprints.usq.edu.au/id/eprint/5725 
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