Analytical Properties of an Ostrovsky-Whitham Type Dynamical System for a Relaxing Medium with Spatial Memory and its Integrable Regularization

Autor:	Bogolubov Jr., Nikolai, Prykarpatsky, Anatoliy, Gucwa, Ilona, Golenia, Jolanta
Rok vydání:	2009
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	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. Comment: Available at: http://publications.ictp.it
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0902.4395 Zobrazit plný text záznamu View this record from Arxiv