Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 19, Issue 2, Pages 364-370Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2013.06.012
Keywords
Nonlinear filtration; Perturbed equation; Nonlinear self-adjointness; Conservation laws
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Funding
- Government of Russian Federation [11.G34.31.0042]
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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. (c) 2013 Elsevier B.V. All rights reserved.
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