WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 14, 2019
On a New Symmetry Method, with Application to the Nonlinear Heat Equation
Author:
Abstract: We determine the group invariant solutions of the nonlinear heat equation though the linear case, using a relation that exists between the two. This is not new, but there has always been those solutions that proved difficult to evaluate through existing symmetry techniques, for both linear and nonlinear cases. We introduce what we call modified Lie symmetries to address these difficulties.