In this paper, we find multiple travelling wave solutions using three integration schemes to integrate the model of electrical transmission line. These schemes are -expansion method, extended tanh method and sine-cosine method, which are applied with computerized symbolic computation. The different kinds of solutions: solitary, shock, singular, periodic, rational and kink-shaped, are obtained. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of the transmission line equation.