An approximate analytical solution of the Hairsine-Rose model of erosion is obtained by interpolation of asymptotic expressions for large times and great distances. The solution, when erosion is initiated by rainfall impact, is both simple and accurate. The results are illustrated by comparison with a numerical solution.
Michel Kocher, François Lazeyras, Bastien Chopard, Sébastien Courvoisier, Julien Songeon
Maryna Viazovska, Abhinav Kumar