Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
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| Creator |
Vladimirov, V.A.
Kutafina, E.V. Pudelko, A. |
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| Description |
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.
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| Date |
2019-02-07T13:39:10Z
2019-02-07T13:39:10Z 2006 |
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| Type |
Article
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| Identifier |
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology / V.A. Vladimirov, E.V. Kutafina, A. Pudelko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 19 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 35C99; 34C60; 74J35 http://dspace.nbuv.gov.ua/handle/123456789/146111 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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