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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 073, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.073 (Mi sigma326) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Solutions Classification to the Extended Reduced Ostrovsky Equation

Yury A. Stepanyants

Australian Nuclear Science and Technology, Organisation PMB 1, Menai (Sydney), NSW, 2234, Australia
Full-text PDF (554 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2008.073
Abstract: An alternative to the Parkes' approach [<i>SIGMA</i> <b>4</b> (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 [<i>SIGMA</i> <b>4</b> (2008), 053, 17 pages].
Keywords: reduced Ostrovsky equation; mechanical analogy; phase plane; periodic waves; solitary waves, compactons.
Received: July 14, 2008; in final form October 13, 2008; Published online October 26, 2008
Bibliographic databases:
Document Type: Article
MSC: 35Q58; 35Q53; 35C05
Language: English
Citation: Yury A. Stepanyants, “Solutions Classification to the Extended Reduced Ostrovsky Equation”, SIGMA, 4 (2008), 073, 19 pp.
Citation in format AMSBIB
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\by Yury A.~Stepanyants
\paper Solutions Classification to the Extended Reduced Ostrovsky Equation
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\yr 2008
\vol 4
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\totalpages 19
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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