Abstract:
In this research study, we use the Lie symmetry analysis and the optimal systems of
subalgebras that underlie it to study the invariant solutions to the nonlinear hyperbolic
heat equation. Optimal systems of two specific cases for the equation are obtained.
We apply an invariance method to determine the optimal set of non-similar symmetry
generators for the nonlinear hyperbolic heat equation and present the results in a con venient tree leaf diagram. Complete symmetry reductions and the invariant solutions
corresponding to each case are computed. Subsequently, a thorough analysis is pro vided, leading to a graphical representation of the solutions of non linear hyperbolic
heat equation.
