on closed-form solutions of some nonlinear partial differential equations
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ID: 187731
2000
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Abstract
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.
| Reference Key |
okoya2000internationalon
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|---|---|
| Authors | ;S. S. Okoya |
| Journal | structural engineering and mechanics |
| Year | 2000 |
| DOI |
10.1155/S0161171200001289
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| URL | |
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