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

• GENERAL • 上一篇    下一篇

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 Abdoulkarya, Alidou Mohamadoub c, Ousmanou Dafounansoub, Serge Yamigno Dokaa   

  1. 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 Abdoulkarya, Alidou Mohamadoub c, Ousmanou Dafounansoub, Serge Yamigno Dokaa   

  1. 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: 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)