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Solutions Classification to the Extended Reduced Ostrovsky Equation

Vernadsky National Library of Ukraine

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Title Solutions Classification to the Extended Reduced Ostrovsky Equation
 
Creator Stepanyants, Y.A.
 
Description 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].
 
Date 2019-02-19T12:54:54Z
2019-02-19T12:54:54Z
2008
 
Type Article
 
Identifier Solutions Classification to the Extended Reduced Ostrovsky Equation / Y.A. Stepanyants // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 5 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 35Q58; 35Q53; 35C05
http://dspace.nbuv.gov.ua/handle/123456789/149006
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України