On closed-form solutions of some nonlinear partial differential equations

S. S. Okoya

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-8

Abstract:

This paper is devoted to closed-form solutions of the partial differential equation: θ x x + θ y y + δ exp ( 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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:853192

DOI: 10.1155/S0161171200001289

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