Multiple travelling wave solutions for electrical transmission line model

Abstract

In this paper, we find multiple travelling wave solutions using three integration schemes to integrate the model of electrical transmission line. These schemes are (G /G)-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.

Lie Symmetry Analysis, Conservation Laws, Power Series Solutions, and Convergence Analysis of Time Fractional Generalized Drinfeld-Sokolov Systems

“…Because of the great importance of nonlinear fractional partial differential equations (NFPDEs) in physics, mechanics, hydrology, viscoelasticity, image processing, electromagnetics, and other fields, researchers have long been aware of the solutions and applications of fractional partial differential equations [1][2][3][4][5][6][7][8][9][10][11][12]. In recent years, parallel to the increase in mathematical techniques and the use of computer programs, many authors have an increased desire to work on fractional analysis.…”

Phase Engineering Chirped Super Rogue Waves in a Nonlinear Transmission Network with Dispersive Elements

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Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays

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