On symmetries, conservation laws and invariant solutions of the foam-drainage equation |
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| Authors: | Emrullah Ya?ar,Teoman Ö zer |
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| Affiliation: | a Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey
b Faculty of Civil Engineering, Division of Mechanics, ?stanbul Technical University, 34469 ?stanbul, Turkey |
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| Abstract: | This study deals with symmetry group properties and conservation laws of the foam-drainage equation. Firstly, we study the classical Lie symmetries, optimal systems, similarity reductions and similarity solutions of the foam-drainage equation which are obtained through the Lie group method of infinitesimal transformations. Secondly, using the new general theorem on non-local conservation laws and partial Lagrangian approach, local and non-local conservation laws are also studied and, finally, non-classical symmetries are derived. |
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| Keywords: | Lie symmetry groups Conservation laws Reductions Similarity solutions |
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