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

›› 2014, Vol. 23 ›› Issue (12): 120506-120506.doi: 10.1088/1674-1056/23/12/120506

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

Saïdou Abdoulkary^a, Alidou Mohamadou^{b c}, Ousmanou Dafounansou^b, Serge Yamigno Doka^a

a Département des Sciences Physiques, Ecole Normale Supérieure, Université de Maroua, P. O. Box 55, Maroua, Cameroon;
b Nonlinear and Complex Systems Group, Faculty of Science, University of Douala, P. O. Box 24157, Douala, Cameroon;
c The Abdus Salam International Center for Theoretical Physics, P. O. Box 538, Strada Costiera 11, I-34014, Trieste, Italy

收稿日期:2014-01-26 修回日期:2014-06-19 出版日期:2014-12-15 发布日期:2014-12-15

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

Saïdou Abdoulkary^a, Alidou Mohamadou^{b c}, Ousmanou Dafounansou^b, Serge Yamigno Doka^a

a Département des Sciences Physiques, Ecole Normale Supérieure, Université de Maroua, P. O. Box 55, Maroua, Cameroon;
b Nonlinear and Complex Systems Group, Faculty of Science, University of Douala, P. O. Box 24157, Douala, Cameroon;
c The Abdus Salam International Center for Theoretical Physics, P. O. Box 538, Strada Costiera 11, I-34014, Trieste, Italy

Received:2014-01-26 Revised:2014-06-19 Online:2014-12-15 Published:2014-12-15
Contact: Saïdou Abdoulkary, Alidou Mohamadou E-mail:elsaidais@yahoo.fr;mohdoufr@yahoo.fr

摘要/Abstract

摘要： 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.

关键词: nonlinear transmission line, discrete (G', /G)-expansion method, solitary waves

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.

Key words: nonlinear transmission line, discrete (G'/G)-expansion method, solitary waves

中图分类号: (Solitons)

05.45.Yv

04.20.Jb (Exact solutions) 42.65.Tg (Optical solitons; nonlinear guided waves)

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[J]. , 2014, 23(12): 120506-120506.

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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

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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