In this paper we study the overland flow equation for an arbitrary positive value of the rating exponent m. We write the general solution of the equation and generalize the series solution given in [1] and [2]. Finally, we show how the five solutions presented in [5] are actually a special case of a general formula valid for any rational m≥1.
Pavone, M. (2010). On the solutions of the differential overland flow equation. BOLLETTINO DI MATEMATICA PURA E APPLICATA, III, 33-42.
On the solutions of the differential overland flow equation
PAVONE, Marco
2010-01-01
Abstract
In this paper we study the overland flow equation for an arbitrary positive value of the rating exponent m. We write the general solution of the equation and generalize the series solution given in [1] and [2]. Finally, we show how the five solutions presented in [5] are actually a special case of a general formula valid for any rational m≥1.
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