Szczegóły publikacji
Opis bibliograficzny
Normal forms application for studying solitary wave solutions of non-integrable evolution systems / Vsevolod VLADIMIROV, Adam Mahdi al Dhayeh // Communications in Nonlinear Science and Numerical Simulation ; ISSN 1007-5704. — 2004 — vol. 9 iss. 6, s. 615–631. — Bibliogr. s. 630–631, Abstr. — Publikacja dostępna online od: 2003-07-05. — V. Vladimirov – dod. afiliacja: Subbotin Institute of Geophysics of the NAS of Ukraine
Autorzy (2)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 19159 |
|---|---|
| Data dodania do BaDAP | 2005-01-24 |
| Tekst źródłowy | URL |
| DOI | 10.1016/S1007-5704(03)00059-5 |
| Rok publikacji | 2004 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Communications in Nonlinear Science & Numerical Simulation |
Abstract
In this paper the problem of obtaining soliton-like solutions to the non-integrable evolution system is discussed. Self-similarity methods together with the normal forms technique are shown to provide significant information on the possibility that such solutions appear. Qualitative investigations, backed by the numerical simulation, are applied to a reactive hydrodynamic model. It is evidenced that this model has a one-parameter family of solitary wave solutions. In addition, the expressions for coefficients of the normal form, corresponding to dynamic systems with (0,±iΩ) degeneracy of the linear parts, are obtained. © 2003 Elsevier B.V. All rights reserved.