Solutions Classification to the Extended Reduced Ostrovsky Equation
Exactly Solvable and Integrable Systems
2008-10-28 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0810.4684,
title = {Solutions Classification to the Extended Reduced Ostrovsky Equation},
author = {Yury Stepanyants},
journal= {arXiv preprint arXiv:0810.4684},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/