Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient
In this paper a variable-coefficient reaction-diffusion equation is studied. We classify the equation into three kinds by different restraints imposed on the variable coefficient b(x) in the process of solving the determining equations of Lie groups. Then, for each kind, the conservation laws corres...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/476829 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562661098782720 |
|---|---|
| author | Zhijie Cao Yiping Lin |
| author_facet | Zhijie Cao Yiping Lin |
| author_sort | Zhijie Cao |
| collection | DOAJ |
| description | In this paper a variable-coefficient reaction-diffusion equation is studied. We classify the equation into three kinds by different restraints imposed on the variable coefficient b(x) in the process of solving the determining equations of Lie groups. Then, for each kind, the conservation laws corresponding to the symmetries obtained are considered. Finally, some exact solutions are constructed. |
| format | Article |
| id | doaj-art-29322cd3373d48a183d200b8c9edfa0c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-29322cd3373d48a183d200b8c9edfa0c2025-02-03T01:22:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/476829476829Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable CoefficientZhijie Cao0Yiping Lin1Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, ChinaDepartment of Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan 650093, ChinaIn this paper a variable-coefficient reaction-diffusion equation is studied. We classify the equation into three kinds by different restraints imposed on the variable coefficient b(x) in the process of solving the determining equations of Lie groups. Then, for each kind, the conservation laws corresponding to the symmetries obtained are considered. Finally, some exact solutions are constructed.http://dx.doi.org/10.1155/2014/476829 |
| spellingShingle | Zhijie Cao Yiping Lin Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient Abstract and Applied Analysis |
| title | Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient |
| title_full | Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient |
| title_fullStr | Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient |
| title_full_unstemmed | Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient |
| title_short | Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient |
| title_sort | conservation laws and exact solutions for a reaction diffusion equation with a variable coefficient |
| url | http://dx.doi.org/10.1155/2014/476829 |
| work_keys_str_mv | AT zhijiecao conservationlawsandexactsolutionsforareactiondiffusionequationwithavariablecoefficient AT yipinglin conservationlawsandexactsolutionsforareactiondiffusionequationwithavariablecoefficient |