New complex wave patterns to the electrical transmission line model arising in network system

Abstract

This study reveals new voltage behaviors to the electrical transmission line equation in a network system by using the newly presented sine-Gordon equation function method. It is commented about these behaviors which come from different simulations of results obtained in this paper. Many illustrations are offered to validate our analytical results. Linear stability analysis is also investigated in a detailed manner.

Keywords

• nonlinear electrical transmission line equation
• sgem
• exponential results with complex
• contour graphs
• density surfaces