Pakdemirli M.2025-04-102025-04-102002http://hdl.handle.net/20.500.14701/53264A 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.Article10.3390/mca7010001