| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 766741 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 7 Pages |
Abstract
•Group classification of perturbed nonlinear filtration equations is performed.•The nonlinearly self-adjoint perturbed equations are singled out.•Conservation laws are constructed for self-adjoint equations.
Group classification of the perturbed nonlinear filtration equation is performed assuming that the perturbation is an arbitrary function of the dependent variable. The nonlinear self-adjointness of the equation under consideration is investigated. Using these results, the approximate conservation laws are constructed.
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Authors
A.A. Alexandrova, N.H. Ibragimov, V.O. Lukashchuk,