Szczegóły publikacji
Opis bibliograficzny
Constructing soliton and kink solutions of PDE models in transport and biology / Vsevolod A. VLADIMIROV, Katarzyna V. KUTAFINA, Anna PUDEŁKO // Symmetry, Integrability and Geometry: Methods and Applications [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1815-0659. — 2006 — vol. 2 art. no. 061, s. 1–15. — Bibliogr. s. 15, Abstr. — Publikacja dostępna online od: 2006-06-19
Autorzy (3)
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 31513 |
|---|---|
| Data dodania do BaDAP | 2007-02-16 |
| Tekst źródłowy | URL |
| DOI | 10.3842/SIGMA.2006.061 |
| Rok publikacji | 2006 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Symmetry, Integrability and Geometry: Methods and Applications |
Abstract
We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical description of these wave patterns is carried out by means of our modification of the direct algebraic balance method. In the case when the analytical description fails, we propose to approximate invariant travelling wave solutions by means of an infinite series of exponential functions. The effectiveness of the method of approximation is demonstrated on a hyperbolic modification of Burgers equation.