Analytical solutions of kinematic equations for erosion on a plane I. Rainfall of indefinite duration Academic Article uri icon


  • Kinematic equations have been utilized in the past for modeling erosion from a sloping plane subject to rainfall. This paper, part I in a series of two, presents analytical solutions of these equations under the assumption of constant effective rainfall of indefinite duration. These solutions contain a function which is related to a generalization of Dawson's integral. Some pertinent properties of this function are briefly discussed. The solutions obtained by previous investigators constitute a part of the solutions developed here. In part II the solutions are derived for the case when the duration of the effective rainfall is finite. 1983.

published proceedings

  • Advances in Water Resources

author list (cited authors)

  • Singh, V. P., & Regl, R. R.

citation count

  • 23

complete list of authors

  • Singh, Vijay P||Regl, Robert R

publication date

  • March 1983