On closed-form solutions of some nonlinear partial differential equations
This paper is devoted to closed-form solutions of the partial differential equation: θxx+θyy+δexp(θ)=0, which arises in the steady state thermal explosion theory. We find simple exact solutions of the form θ(x,y)=Φ(F(x)+G(y)), and θ(x,y)=Φ(f(x+y)+g(x-y)). Also, we study the corresponding nonlinear w...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001289 |
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| _version_ | 1832549934447984640 |
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| author | S. S. Okoya |
| author_facet | S. S. Okoya |
| author_sort | S. S. Okoya |
| collection | DOAJ |
| description | This paper is devoted to closed-form solutions of the partial
differential equation: θxx+θyy+δexp(θ)=0, which arises in the steady state thermal explosion
theory. We find simple exact solutions of the form θ(x,y)=Φ(F(x)+G(y)), and θ(x,y)=Φ(f(x+y)+g(x-y)). Also, we study the corresponding nonlinear wave equation. |
| format | Article |
| id | doaj-art-5b0a099b5b884481bc29e64668c8b354 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-5b0a099b5b884481bc29e64668c8b3542025-02-03T06:08:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01232818810.1155/S0161171200001289On closed-form solutions of some nonlinear partial differential equationsS. S. Okoya0Department of Mathematics, Obafemi Awolowo University, Ile-Ife, NigeriaThis paper is devoted to closed-form solutions of the partial differential equation: θxx+θyy+δexp(θ)=0, which arises in the steady state thermal explosion theory. We find simple exact solutions of the form θ(x,y)=Φ(F(x)+G(y)), and θ(x,y)=Φ(f(x+y)+g(x-y)). Also, we study the corresponding nonlinear wave equation.http://dx.doi.org/10.1155/S0161171200001289Thermal explosion theoryexothermic reaction endothermic reactionlarge activation energy. |
| spellingShingle | S. S. Okoya On closed-form solutions of some nonlinear partial differential equations International Journal of Mathematics and Mathematical Sciences Thermal explosion theory exothermic reaction endothermic reaction large activation energy. |
| title | On closed-form solutions of some nonlinear partial differential equations |
| title_full | On closed-form solutions of some nonlinear partial differential equations |
| title_fullStr | On closed-form solutions of some nonlinear partial differential equations |
| title_full_unstemmed | On closed-form solutions of some nonlinear partial differential equations |
| title_short | On closed-form solutions of some nonlinear partial differential equations |
| title_sort | on closed form solutions of some nonlinear partial differential equations |
| topic | Thermal explosion theory exothermic reaction endothermic reaction large activation energy. |
| url | http://dx.doi.org/10.1155/S0161171200001289 |
| work_keys_str_mv | AT ssokoya onclosedformsolutionsofsomenonlinearpartialdifferentialequations |