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http://hdl.handle.net/11452/23807
Title: | On symmetries, conservation laws and invariant solutions of the foam-drainage equation |
Authors: | Özer, Teoman Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. 0000-0003-4732-5753 Yaşar, Emrullah AAG-9947-2021 23471031300 |
Keywords: | Mechanics Lie symmetry groups Conservation laws Reductions Similarity solutions Tanh-coth method Differential-equations Solitary wave Lagrange multipliers Mechanical engineering Quantum theory Conservation law Infinitesimal transformations Invariant solutions Lagrangian approaches Lie group method Lie symmetries Nonlocal Similarity reductions Similarity solution Symmetry groups Physical properties |
Issue Date: | Mar-2011 |
Publisher: | Pergamon-Elsevier Science |
Citation: | Yaşar, E. ve Özer, T. (2011). "On symmetries, conservation laws and invariant solutions of the foam-drainage equation". International Journal of Non-Linear Mechanics, 46(2), 357-362. |
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 |
URI: | https://doi.org/10.1016/j.ijnonlinmec.2010.09.019 https://www.sciencedirect.com/science/article/pii/S0020746210001526 http://hdl.handle.net/11452/23807 |
ISSN: | 0020-7462 |
Appears in Collections: | Scopus Web of Science |
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