Szczegóły publikacji
Opis bibliograficzny
Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects / Vsevolod A. VLADIMIROV, Czesław MĄCZKA, Artur Sergyeyev, Sergiy Skurativskyi // Communications in Nonlinear Science and Numerical Simulation ; ISSN 1007-5704. — 2014 — vol. 19 iss. 6, s. 1770–1782. — Bibliogr. s. 1782, Abstr.
Autorzy (4)
- AGHVladimirov Vsevolod A.
- AGHMączka Czesław
- Sergyeyev Artur
- Skurativskyi Sergii I.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 79067 |
|---|---|
| Data dodania do BaDAP | 2014-01-13 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.cnsns.2013.10.027 |
| Rok publikacji | 2014 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Communications in Nonlinear Science & Numerical Simulation |
Abstract
We consider a hydrodynamic-type system of balance equations for mass and momentum closed by the dynamical equation of state taking into account the effects of spatial nonlocality. We study higher symmetry admitted by this system and establish its non-integrability for the generic values of parameters. A system of ODEs obtained from the system under study through the group theory reduction is investigated. The reduced system is shown to possess a family of the homoclinic solutions describing solitary waves of compression and rarefaction. The waves of compression are shown to be unstable. On the contrary, the waves of rarefaction are likely to be stable. Numerical simulations reveal some peculiarities of solitary waves of rarefaction, and, in particular, the recovery of their shape after the collisions. (C) 2013 Elsevier B.V. All rights reserved.