Title of article
Conservation law and Lie symmetry analysis of Foam Drainage equation
Author/Authors
Nadjafikhah, Mehdi Department of Pure Mathematics - School of Mathematics - Iran University of Science and Technology, Tehran, Iran , Chekini, Omid Department of Pure Mathematics - School of Mathematics - Iran University of Science and Technology, Tehran, Iran
Pages
8
From page
37
To page
44
Abstract
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.
Keywords
Lie group analysis , Conservation law , Optimal system , Foam Drainage equation , Nonclassical symmetry
Journal title
AUT Journal of Mathematics and Computing
Serial Year
2021
Record number
2727548
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