Conservation law and Lie symmetry analysis of foam drainage equation

Document Type : Original Article

Authors

School of Mathematics, Iran University of Science and Technology

10.22060/ajmc.2020.18460.1036

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

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