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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
Vsevolod A. Vladimirov, Ekaterina V. Kutafina, Anna Pudelko Faculty of Applied Mathematics AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków Poland
Аннотация:
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.
Ключевые слова:
generalized Burgers equation; telegraph equation; model of somitogenesis; direct algebraic balance method; periodic and solution-like travelling wave solutions; approximation of the soliton-like solutions.
Поступила: 30 ноября 2005 г.; в окончательном варианте 24 мая 2006 г.; опубликована 19 июня 2006 г.
Образец цитирования:
Vsevolod A. Vladimirov, Ekaterina V. Kutafina, Anna Pudelko, “Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology”, SIGMA, 2 (2006), 061, 15 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma89 https://www.mathnet.ru/rus/sigma/v2/p61
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