Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation

Pakdemirli, Mehmet

doi:10.3390/mca7010001

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Article

1 April 2002

4 Pages

Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation

Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey

Math. Comput. Appl.2002, 7(1), 1-4;https://doi.org/10.3390/mca7010001

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Abstract

A nonlinear filtration equation in which the filter coefficient is an arbitrary function of the specific deposit is considered. Lie Group theory is applied to the coupled system of partial differential equations. Group classification is performed with respect to the arbitrary filter coefficient. Some similarity solutions are constructed using the symmetries.

Keywords:

Filtration equation; Lie Group Theory; Group Classification; Similarity Solutions

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