TY - JOUR
T1 - On symmetries, conservation laws and invariant solutions of the foam-drainage equation
AU - Yaşar, Emrullah
AU - Özer, Teoman
PY - 2011/3
Y1 - 2011/3
N2 - 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.
AB - 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.
KW - Conservation laws
KW - Lie symmetry groups
KW - Reductions
KW - Similarity solutions
UR - http://www.scopus.com/inward/record.url?scp=78651059783&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2010.09.019
DO - 10.1016/j.ijnonlinmec.2010.09.019
M3 - Article
AN - SCOPUS:78651059783
SN - 0020-7462
VL - 46
SP - 357
EP - 362
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 2
ER -