Abstract
In this article, we consider the model of electrical transmission line for exact solutions and conservations laws. For this, lie point symmetries are obtained. It is noticed that the equation under study is nonlinearly self-adjoint. This property is useful to calculate more conservation laws. Conservation laws are computed by using the new general conservation theorem of Ibragimov and multiplier approach. Some new exact solutions are achieved using direct integration and $$ \left( {1/G^{\prime}} \right) $$ —expansion methods.
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