Publicação: Symmetry analysis of an integrable reaction-diffusion equation
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2001-03-01
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Elsevier B.V.
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In this paper, we investigate the invariance and integrability properties of an integrable two-component reaction-diffusion equation. We perform Painleve analysis for both the reaction-diffusion equation modelled by a coupled nonlinear partial differential equations and its general similarity reduced ordinary differential equation and confirm its integrability. Further, we perform Lie symmetry analysis for this model. Interestingly our investigations reveals a rich variety of particular solutions, which have not been reported in the literature, for this model. (C) 2000 Elsevier B.V. Ltd. All rights reserved.
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Chaos Solitons & Fractals. Oxford: Pergamon-Elsevier B.V., v. 12, n. 3, p. 463-474, 2001.
