Solutions classification to the extended reduced Ostrovsky equation
Article
Article Title | Solutions classification to the extended reduced Ostrovsky equation |
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ERA Journal ID | 32496 |
Article Category | Article |
Authors | |
Author | Stepanyants, Yury A. |
Journal Title | Symmetry, Integrability and Geometry: Methods and Applications |
Journal Citation | 4 |
Number of Pages | 19 |
Year | 2008 |
Place of Publication | Kiev, Ukraine |
ISSN | 1815-0659 |
Digital Object Identifier (DOI) | https://doi.org/10.3842/SIGMA.2008.073 |
Web Address (URL) | http://www.emis.de/journals/SIGMA/2008/073/sigma08-073.pdf |
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]. |
Keywords | reduced Ostrovsky equation; mechanical analogy; phase plane; periodic waves; solitary waves; compactons |
ANZSRC Field of Research 2020 | 490299. Mathematical physics not elsewhere classified |
490409. Ordinary differential equations, difference equations and dynamical systems | |
490109. Theoretical and applied mechanics | |
Public Notes | The authors retain ownership of the copyright with respect to their papers published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. |
Byline Affiliations | Australian Nuclear Science and Technology Organisation |
https://research.usq.edu.au/item/9z310/solutions-classification-to-the-extended-reduced-ostrovsky-equation
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