Analytical Properties of an Ostrovsky-Whitham Type Dynamical System for a Relaxing Medium with Spatial Memory and its Integrable Regularization
| dc.creator | Bogolubov Jr., Nikolai | |
| dc.creator | Prykarpatsky, Anatoliy | |
| dc.creator | Gucwa, Ilona | |
| dc.creator | Golenia, Jolanta | |
| dc.date | 2009-02-25 | |
| dc.date.accessioned | 2026-07-07T12:46:45Z | |
| dc.date.available | 2026-07-07T12:46:45Z | |
| dc.description | Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm.The bi-Hamiltonicity and complete integrability of the corresponding dynamical system is stated and an infinite hierarchy of commuting to each other conservation laws of dispersive type are found. The two- and four-dimensional invariant reductions are studied in detail. The well defined regularization of the model is constructed and its Lax type integrability is discussed. | |
| dc.description | Available at: http://publications.ictp.it | |
| dc.identifier | https://arxiv.org/abs/0902.4395 | |
| dc.identifier | http://arxiv.org/abs/0902.4395 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221490 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Analytical Properties of an Ostrovsky-Whitham Type Dynamical System for a Relaxing Medium with Spatial Memory and its Integrable Regularization | |
| dc.type | text |