Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
33 (1992), S. 3687-3693
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
In this paper symmetries are sought for radially symmetric nonlinear diffusion equations of the type ut=r1−N[rN−1f(u)ur]r. The nonlinear forms of this equation which admit Lie classical symmetries are completely classified and are shown to exist when f=un, eu. Also, a trivial symmetry exists for arbitrary f. Lie–Bäcklund symmetries are also considered when f=un and shown to exist when n=0 (linear case) and when n=−2 and N=1.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.529863
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