Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions
نویسندگان
چکیده
The aim of this work is to perform a complete Lie symmetry classification of a generalized LaneEmden 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.
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012