Open AccessDiscrete (G'/G )-expansion: a Method Used to Get Exact Solution of Fdde (Fractional Differential-difference Equation) Linked With Nltl (Non-linear Transmission Line)
Author(s) -
Suchana Mishra,
Rabindra K. Mishra,
Srikanta Patnaik
Publication year - 2021
Publication title -
international journal of circuits, systems and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.156
H-Index - 13
ISSN - 1998-4464
DOI - 10.46300/9106.2021.15.49
Subject(s) - mathematics , mathematical analysis , trigonometry , hyperbolic function , fractional calculus , line (geometry) , transmission line , exact solutions in general relativity , trigonometric functions , transmission (telecommunications) , computer science , geometry , telecommunications
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.