| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 759889 | Communications in Nonlinear Science and Numerical Simulation | 2008 | 8 Pages |
Abstract
The paper is dedicated to construction of invariants for the parabolic equationut+a(t,x)uxx+b(t,x)ux+c(t,x)u=0.ut+a(t,x)uxx+b(t,x)ux+c(t,x)u=0.We consider the equivalence group given by point transformations and find all invariants up to seventh-order, i.e. the invariants involving the derivatives up to seventh-order of the coefficients a, b and c with respect to the independent variables t, x.
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Authors
N.H. Ibragimov, S.V. Meleshko, E. Thailert,