A generalized Cole-Hopf transformation for a two-dimensional burgers equation with a variable coefficient
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s13226-012-0035-y.pdf
Reference13 articles.
1. G. W. Bluman and S. Kumei, Symmetries and Differential Equations, Springer-Verlag, New York, (1989).
2. P. A. Clarkson and M. D. Kruskal, New similarity reductions of the Boussinesq equations, J. Math. Phys., 30 (1989), 2201–2213.
3. J. D. Cole, On a quasi-linear parabolic equation occurring in aerodynamics, Quart. Appl. Math., 9 (1951), 225–236.
4. F. Güngör, Symmetries and invariant solutions of the two-dimensional variable coefficient Burgers equation, J. Phys. A: Math. Gen., 34 (1951), 4313–4321.
5. E. Hopf, The partial differential equation ut + uux = u xx, Commun. Pure Appl. Math., 3, (1950), 201–230.
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