Discrete (G'/G )-expansion: a Method Used to Get Exact Solution of Fdde (Fractional Differential-difference Equation) Linked With Nltl (Non-linear Transmission Line)

Author:

Mishra Suchana1,Kishore Mishra Rabindra2,Patnaik Srikanta3

Affiliation:

1. EEE Department, Dayananda Sagar College of Engineering, Bangalore-560078, Karnataka, INDIA

2. Electronics Department, Bhanja Bihar, Bramhapur -760007, Odisha, INDIA

3. CSE Department, Siksha O Anusandhan University, Bhubaneswar-751030, Odisha, INDIA

Abstract

Here, we have used the discrete (G'/G)-expansion procedure with the derivative operator MR-L (modified Riemann-Liouville) and FCT (fractional complex transform) to find the exact/analytical solution of an electrical transmission line which is non-linear. Results include solutions for integer and fractional DDE. We consider two special cases of solutions: hyperbolic and trigonometric. Hyperbolic solutions indicate propagation of singular wave on the transmission line. Trigonometric solutions show propagation of complex wave.

Publisher

North Atlantic University Union (NAUN)

Subject

Electrical and Electronic Engineering,Signal Processing

Reference15 articles.

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3. Suchana Mishra, Rabindra Kishore Mishra, Srikant Patnaik, ―Fractional Cross Product in Radiation Characteristic of Micro-strip Antenna: A simulation Approach‖, Test engineering and management, ISSN: 0193-4120, Volume 81, pp. 1392-1401, Publication Issue November-December 2019.

4. A. Saadatmandi and M. Dehghan, ―Numerical solution of the higherorder linear Fredholm integro-differential-difference equation with variable coefficients‖, Computer and Mathematics with Applications, Volume 59, Issue 8, pp. 2996-3004, April 2010.

5. C.Q. Dai and Y.Y. Wang, ―Exact travelling wave solutions of the discrete nonlinear Schrödinger equation and the hybrid lattice equation obtained via the exp-function method‖, Physica Scripta, The Royal Swedish Academy of Sciences, Volume 78, Number 1, 2 July 2008.

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