Regarding New Traveling Wave Solutions for the Mathematical Model Arising in Telecommunications

Haci Mehmet Baskonus,Fernando S Vidal Causanilles,Juan Luis García Guirao,Ajay Kumar,German Rodriguez Bermudez,Nikos E Mastorakis

doi:10.1155/2021/5554280

Abstract

This research paper focuses on the application of the tanh function method to find the soliton solutions of the (2+1)-dimensional nonlinear electrical transmission line model. Materials used to form a transmitting line are very important to transmit electric charge. In this sense, we find some new voltage behaviors such as dark, trigonometric, and complex function solutions. Choosing some suitable values of parameters, we present some various surfaces of results obtained in this paper. These results play an important role in telecommunications lines used to stand for wave propagations.

Highlights

Nonlinear partial differential equations (NPDEs) are recently used to investigate the meanings of physical problems such as fluid dynamics, mathematics, physics and quantum field theory, and nonlinear fiber optics
Some methods such as index the extended tanh method [1, 2], the sine cosine method [3], the inverse scattering transform method [4], finite difference method [5], tanh and extended tanh methods [6,7,8], Jacobi elliptic function expansion method [9], modified expansion method [10], generalized tanh method [11, 12], sineGordon expansion method [13], extended mean value theorem [14], and interval-valued fuzzy topsis method [15] to obtain various solutions of such NPDEs have been presented in the literatures
tanh function method (TFM) being one of the powerful techniques has been successfully used to Eq (1)

Summary

Introduction

Nonlinear partial differential equations (NPDEs) are recently used to investigate the meanings of physical problems such as fluid dynamics, mathematics, physics and quantum field theory, and nonlinear fiber optics. Systems of NPDEs are considered as a main tool to investigate in chemical and biological experiments Some methods such as index the extended tanh method [1, 2], the sine cosine method [3], the inverse scattering transform method [4], finite difference method [5], tanh and extended tanh methods [6,7,8], Jacobi elliptic function expansion method [9], modified expansion method [10], generalized tanh method [11, 12], sineGordon expansion method [13], extended mean value theorem [14], and interval-valued fuzzy topsis method [15] to obtain various solutions of such NPDEs have been presented in the literatures. To express physical properties in terms of mathematical dynamics, such as wave propagation of electrical transmission lines, has been presented by equation defined as [9]. The main conclusions are given in the last section of the paper

The Tanh Function Method

Mathematical Analysis

Conclusions