On symmetries, conservation laws and invariant solutions of the foam-drainage equation
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.46, sa.2, ss.357-362, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 46 Sayı: 2
- Basım Tarihi: 2011
- Doi Numarası: 10.1016/j.ijnonlinmec.2010.09.019
- Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.357-362
- Anahtar Kelimeler: Lie symmetry groups, Conservation laws, Reductions, Similarity solutions, TANH-COTH METHOD, DIFFERENTIAL-EQUATIONS, SOLITARY WAVE
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.