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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Hindawi Limited
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200001289 |
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doaj-5b0a099b5b884481bc29e64668c8b3542020-11-24T23:16:19ZengHindawi LimitedInternational 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. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. S. Okoya |
| 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. |
| author_facet |
S. S. Okoya |
| author_sort |
S. S. Okoya |
| title |
On closed-form solutions of some nonlinear partial differential equations |
| title_short |
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_sort |
on closed-form solutions of some nonlinear partial differential equations |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2000-01-01 |
| 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. |
| 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 |
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1725587591922712576 |