On symmetries, conservation laws and invariant solutions of the foam-drainage equation
Date
2011-03
Authors
Özer, Teoman
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-Elsevier Science
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
Description
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
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.