Abstract
A nonlinear Burgers' model is used to describe vertical infiltration of water into a non-swelling soil with prescribed concentration conditions at the boundary. The exact solution is constructed in terms of a series involving complementary error integrals.
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Benyu, G., Carillo, S. Infiltration in soils with prescribed Boundary concentration. Acta Mathematicae Applicatae Sinica 6, 365–369 (1990). https://doi.org/10.1007/BF02015343
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DOI: https://doi.org/10.1007/BF02015343