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A Note on Separation of Variables Solutions of Generalized Nonlinear Diffusion Equations

Journal Article


Abstract


  • 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.

Publication Date


  • 2019

Citation


  • Goard, J. & Broadbridge, P. (2019). A Note on Separation of Variables Solutions of Generalized Nonlinear Diffusion Equations. Applied Mathematics Letters, 98 7-12.

Scopus Eid


  • 2-s2.0-85066433825

Number Of Pages


  • 5

Start Page


  • 7

End Page


  • 12

Volume


  • 98

Place Of Publication


  • United Kingdom

Abstract


  • 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.

Publication Date


  • 2019

Citation


  • Goard, J. & Broadbridge, P. (2019). A Note on Separation of Variables Solutions of Generalized Nonlinear Diffusion Equations. Applied Mathematics Letters, 98 7-12.

Scopus Eid


  • 2-s2.0-85066433825

Number Of Pages


  • 5

Start Page


  • 7

End Page


  • 12

Volume


  • 98

Place Of Publication


  • United Kingdom