A note on separation of variables solutions of generalized nonlinear diffusion equations

摘要

In this letter we show how more cases of the generalized nonlinear diffusion equation that contain separable solutions to those found by Zhang et al. (2002, 2003) via the generalized conditional symmetries method, can be found. Importantly we demonstrate with an example that can be used to describe water flow in unsaturated soil, and which can provide new insights when plant-root uptake is affected by water speed. (C) 2019 Elsevier Ltd. All rights reserved.