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.
| Original language | English |
|---|---|
| Pages (from-to) | 357-362 |
| Number of pages | 6 |
| Journal | International Journal of Non-Linear Mechanics |
| Volume | 46 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Mar 2011 |
Keywords
- Conservation laws
- Lie symmetry groups
- Reductions
- Similarity solutions
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