On some diffusion equations

E. V. Krishnan

On some diffusion equations

E. V. Krishnan

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Travelling wave solutions for two nonlinear diffusion equations have been found by a direct method. A new equilibrium solution has been found for the diffusion equation u_t=(u²)_xx+u(u-1)(α-u) and also a singular solution when α=0 in the equilibrium state using the properties of elliptic functions.

Original language	English
Pages (from-to)	460-465
Number of pages	6
Journal	Journal of the Physical Society of Japan
Volume	63
Issue number	2
Publication status	Published - Feb 1994

ASJC Scopus subject areas

Physics and Astronomy(all)

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abstract = "Travelling wave solutions for two nonlinear diffusion equations have been found by a direct method. A new equilibrium solution has been found for the diffusion equation ut=(u2)xx+u(u-1)(α-u) and also a singular solution when α=0 in the equilibrium state using the properties of elliptic functions.",

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