Exact solutions of the nonlinear differential—difference equations associated with the nonlinear electrical transmission line through a variable-coefficient discrete (G'/G)-expansion method

doi:10.1088/1674-1056/23/12/120506

Abstract We investigated exact traveling soliton solutions for the nonlinear electrical transmission line. By applying a concise and straightforward method, the variable-coefficient discrete (G'/G)-expansion method, we solve the nonlinear differential–difference equations associated with the network. We obtain some exact traveling wave solutions which include hyperbolic function solution, trigonometric function solution, rational solutions with arbitrary function, bright as well as dark solutions.

Keywords: nonlinear transmission line discrete (G'/G)-expansion method solitary waves

Received: 26 January 2014
Revised: 19 June 2014
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	04.20.Jb	(Exact solutions)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Corresponding Authors: Saïdou Abdoulkary, Alidou Mohamadou
E-mail: elsaidais@yahoo.fr;mohdoufr@yahoo.fr

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Saïdou Abdoulkary, Alidou Mohamadou, Ousmanou Dafounansou, Serge Yamigno Doka Exact solutions of the nonlinear differential—difference equations associated with the nonlinear electrical transmission line through a variable-coefficient discrete (G'/G)-expansion method 2014 Chin. Phys. B 23 120506


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Exact solutions of the nonlinear differential—difference equations associated with the nonlinear electrical transmission line through a variable-coefficient discrete (G'/G)-expansion method

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