Solutions Classification to the Extended Reduced Ostrovsky Equation

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An 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.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/172488

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4684
 http://arxiv.org/abs/0810.4684
 SIGMA 4 (2008), 073, 19 pages
 doi:10.3842/SIGMA.2008.073

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arXiv