Please use this identifier to cite or link to this item: 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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