On the invariants of two dimensional linear parabolic equations
Date
2012ISSN
1007-5704Source
Communications in Nonlinear Science and Numerical SimulationVolume
17Issue
9Pages
3673-3681Google Scholar check
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We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results are achieved with the employment of the equivalence group admitted by this class of parabolic equations. We derive those variable coefficient equations of this class of linear parabolic equations that can be mapped into constant coefficient equations. Further applications are presented. © 2012 Elsevier B.V.