Potential symmetries and invariant solutions for the inhomogeneous nonlinear diffusion equation

A.H. Khater, M.H.M. Moussa and S.F. Abdul-Aziz

Physica A: Statistical Mechanics and its Applications, 2002, vol. 312, issue 1, 99-108

Abstract: The work reported here is a sequel to our paper (Physica A 304 (2002) 395), wherein we have obtained the invariant solutions of the generalized one-dimensional Fokker–Planck equation via the so-called potential symmetry method. Herein, the application of the same method has been carried over to the inhomogeneous nonlinear diffusion (INLD) equation to obtain the determining equations in most general form, which determine the one-parameter transformation group.

Keywords: Partial differential equations; Waves and wave propagation: general mathematical aspects; Nonlinear waves and nonlinear wave propagation; Heat conduction (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:312:y:2002:i:1:p:99-108

DOI: 10.1016/S0378-4371(02)00866-X

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