on closed-form solutions of some nonlinear partial differential equations

on closed-form solutions of some nonlinear partial differential equations

;S. S. Okoya
structural engineering and mechanics 2000 Vol. 23 pp. 81-88
75
okoya2000internationalon

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.

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ID: 187731
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187731
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10.1155/S0161171200001289
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