Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology
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 t...
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| Дата: | 2006 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146111 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146111 |
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irk-123456789-1461112019-02-08T01:23:18Z Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology Vladimirov, V.A. Kutafina, E.V. Pudelko, A. 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. 2006 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Vladimirov, V.A. Kutafina, E.V. Pudelko, A. |
| spellingShingle |
Vladimirov, V.A. Kutafina, E.V. Pudelko, A. Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Vladimirov, V.A. Kutafina, E.V. Pudelko, A. |
| author_sort |
Vladimirov, V.A. |
| title |
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology |
| title_short |
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology |
| title_full |
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology |
| title_fullStr |
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology |
| title_full_unstemmed |
Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology |
| title_sort |
constructing soliton and kink solutions of pde models in transport and biology |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146111 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT vladimirovva constructingsolitonandkinksolutionsofpdemodelsintransportandbiology AT kutafinaev constructingsolitonandkinksolutionsofpdemodelsintransportandbiology AT pudelkoa constructingsolitonandkinksolutionsofpdemodelsintransportandbiology |
| first_indexed |
2023-05-20T17:23:51Z |
| last_indexed |
2023-05-20T17:23:51Z |
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1796153202017566720 |