Solutions Classification to the Extended Reduced Ostrovsky Equation

dc.creatorStepanyants, Yury
dc.date2008-10-26
dc.date.accessioned2026-07-07T10:13:19Z
dc.date.available2026-07-07T10:13:19Z
dc.descriptionAn alternative to the Parkes' approach [SIGMA 4 (2008) 053, arXiv:0806.3155] 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 the above mentioned Parkes' paper.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0810.4684
dc.identifierhttp://arxiv.org/abs/0810.4684
dc.identifierSIGMA 4 (2008), 073, 19 pages
dc.identifierdoi:10.3842/SIGMA.2008.073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172488
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleSolutions Classification to the Extended Reduced Ostrovsky Equation
dc.typetext

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