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Group classification for nonlinear filtration problem
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DOI：10.1016/S0096-3003(00)00096-5.png)
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Abstract
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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. (C) 2001 Elsevier Science Inc. All rights reserved.
Keywords:
group classification
Lie algebra
nonlinear filtration
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