论文信息 - Group classification and conservation laws of nonlinear filtration equation with a small parameter

Group classification and conservation laws of nonlinear filtration equation with a small parameter

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.

A. A. Alexandrova | Nail H. Ibragimov | V. O. Lukashchuk | N. Ibragimov | A. Alexandrova

[1] Nail H. Ibragimov,et al. Nonlinear self-adjointness in constructing conservation laws , 2011, 1109.1728.

[2] A. Aksenov,et al. CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 2. Applications in Engineering and Physical Sciences , 1995 .