Group classification for nonlinear filtration problem
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In this paper we investigate the group classification for all possible prosity functions K(t,x,y,h) for the filtration problem modeled by H. Rouse (Engineering hydraulic, in: Proceedings of the Fourth Hydraulic Conference, Institute of Hydraulic Research, 12-15 June, 1949, pp. 383-385). Moreover, some classes of invariant solutions are obtained.
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