Analytical solution of the Hunter-Saxton equation using the reduced di erential transform method

In this paper, the reduced di erential transform method is investigated for a nonlinear partial di erential equation modeling nematic liquid crystals, it is called the Hunter-Saxton equation. The main advantage of this method is that it can be applied directly to nonlinear di erential equations without requiring linearization, discretization, or perturbation. It is a semi analytical- numerical method that formulizes Taylor series in a very di erent manner. The numerical results denote that reduced di erential transform method is ecient and accurate for Hunter-Saxton equation.