Journal of Japan Society of Fluid Mechanics
Online ISSN : 2185-4912
Print ISSN : 0286-3154
ISSN-L : 0286-3154
Exact Solutions in the Analysis of Nonlinear Dissipative Waves
Junkichi SATSUMA
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1987 Volume 6 Issue 2 Pages 140-149

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Abstract
The methods of obtaining exact solutions for nonlinear diffusion equations are surveyed. Included are linearization technique, bilinear transformation, Painlevé analysis and method of similarity solution. The equations considered are Burgers' type equations, Fisher's type equations, diffusion equations with integral terms and equations with density dependent diffusion. Explicit solutions are also shown for some of the equations.
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