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Group classification and conservation laws of nonlinear filtration equation with a small parameter
Blekinge Institute of Technology, School of Engineering, Department of Mathematics and Natural Sciences.ORCID iD: 0000-0002-0076-1067
2014 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 19, no 2, p. 364-370Article in journal (Refereed) Published
Abstract [en]

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.
Place, publisher, year, edition, pages
Elsevier , 2014. Vol. 19, no 2, p. 364-370
Keywords [en]
Conservation laws, Nonlinear filtration, Nonlinear self-adjointness, Perturbed equation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:bth-6712DOI: 10.1016/j.cnsns.2013.06.012ISI: 000325128700007Local ID: oai:bth.se:forskinfoC61FDDD6D8226832C1257BE800253164OAI: oai:DiVA.org:bth-6712DiVA, id: diva2:834244
Available from: 2014-04-23 Created: 2013-09-16 Last updated: 2023-03-07Bibliographically approved

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Ibragimov, Nail

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