Soliton wave solutions for the nonlinear transmission line using the Kudryashov method and the [formula omitted]-expansion method

Abstract

This work focuses on finding soliton solutions in a nonlinear transmission line. By applying the Kirchhoff’s laws and the continuum approximation to a nonlinear electrical line, we arrive at the equation of wave propagation. Solving this equation through the Kudryashov method and the (G′/G)-expansion method provides kink, antikink and breather soliton solutions. In view of the obtained results, the Kudryashov method and the (G′/G)-expansion method are potential candidates which can be extended to other nonlinear transmission lines.