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Molati, Motlatsi; Khalique, Chaudry Masood

Lie group classification of a generalized Lane-Emden type system in two dimensions. (English) Zbl 1282.35019

J. Appl. Math. 2012, Article ID 405978, 10 p. (2012).
Summary: The aim of this work is to perform a complete Lie symmetry classification of a generalized Lane-Emden type system in two dimensions which models many physical phenomena in biological and physical sciences. The classical approach of group classification is employed for classification. We show that several cases arise in classifying the arbitrary parameters, the forms of which include amongst others the power law nonlinearity, and exponential and quadratic forms.

Cited in 6 Documents

MSC:

35A30 Geometric theory, characteristics, transformations in context of PDEs
35J91 Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian

Software:

YaLie
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\textit{M. Molati} and \textit{C. M. Khalique}, J. Appl. Math. 2012, Article ID 405978, 10 p. (2012; Zbl 1282.35019)
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References:

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