Power expansions for the self-similar solutions of the modified Savada-Kotera equation
| dc.creator | Efimova, Olga Yu. | |
| dc.creator | Kudryashov, Nikolai A. | |
| dc.date | 2006-06-15 | |
| dc.date | 2006-06-22 | |
| dc.date.accessioned | 2026-07-07T07:18:33Z | |
| dc.date.available | 2026-07-07T07:18:33Z | |
| dc.description | The fourth-order ordinary differential equation, defining new transcendents, is studied. The self-similar solutions of the Kaup-Kupershmidt and Savada-Kotera equations are shown to be found taking its solutions into account. Equation studied belongs to the class of fourth-order analogues of the Painlevé equations. All the power and non-power asymptotic forms and expansions near points $z=0$, $z=\infty$ and near arbitrary point $z=z_0$ are found by means of power geometry methods. The exponential additions to the solutions of studied equation are also determined. | |
| dc.description | 31 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0606042 | |
| dc.identifier | http://arxiv.org/abs/nlin/0606042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114341 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Power expansions for the self-similar solutions of the modified Savada-Kotera equation | |
| dc.type | text |