TY - JOUR
ID - 4161
TI - Conservation law and Lie symmetry analysis of Foam Drainage equation
JO - AUT Journal of Mathematics and Computing
JA - AJMC
LA - en
SN - 2783-2449
AU - Nadjafikhah, Mehdi
AU - Chekini, Omid
AD - Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114,
Iran
Y1 - 2021
PY - 2021
VL - 2
IS - 1
SP - 37
EP - 44
KW - Lie group analysis
KW - Conservation law
KW - Optimal system
KW - Foam Drainage equation
KW - Nonclassical symmetry
DO - 10.22060/ajmc.2020.18460.1036
N2 - 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.
UR - https://ajmc.aut.ac.ir/article_4161.html
L1 - https://ajmc.aut.ac.ir/article_4161_b5606088c594819303a0914f670fadbe.pdf
ER -