Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492120210201Conservation law and Lie symmetry analysis of Foam Drainage equation3744416110.22060/ajmc.2020.18460.1036ENMehdiNadjafikhahDepartment of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114,
Iran0000-0002-1354-9786OmidChekiniDepartment of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114,
IranJournal Article20200518 In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE. Also we apply the Lie-group classical, and the nonclassical method due to Bluman and Cole to deduce symmetries of the Foam Drainage equation. and we prove that the nonclassical method applied to the equation leads to new reductions, which cannot be obtained by Lie classical symmetries. Also this paper shows how to construct directly the local conservation laws for this equation.https://ajmc.aut.ac.ir/article_4161_b5606088c594819303a0914f670fadbe.pdf