Similarity Reductions for a Nonlinear Diffusion Equation
作者:
M.L. Gandarias,
P. Venero,
J. Ramirez,
期刊:
Journal of Nonlinear Mathematical Physics
(Taylor Available online 1998)
卷期:
Volume 5,
issue 3
页码: 234-244
ISSN:1402-9251
年代: 1998
DOI:10.2991/jnmp.1998.5.3.2
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Similarity reductions and new exact solutions are obtained for a nonlinear diffusion equation. These are obtained by using the classical symmetry group and reducing the partial differential equation to various ordinary differential equations. For the equations so obtained, first integrals are deduced which consequently give rise to explicit solutions. Potential symmetries, which are realized as local symmetries of a related auxiliary system, are obtained. For some special nonlinearities new symmetry reductions and exact solutions are derived by using the nonclassical method.
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