Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network

doi:10.1088/1674-1056/27/9/096301

中国物理B ›› 2018, Vol. 27 ›› Issue (9): 96301-096301.doi: 10.1088/1674-1056/27/9/096301

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network

Serge Bruno Yamgoué, Guy Roger Deffo, Eric Tala-Tebue, François Beceau Pelap

1 Department of Physics, Higher Teacher Training College Bambili, the University of Bamenda, P. O. Box 39 Bamenda, Cameroon;
2 Unité de Recherche de Mécanique et de Modélisation des Systémes Physiques(UR-2 MSP), Faculté des Sciences, Université de Dschang, BP 69 Dschang, Cameroun;
3 Department of Telecommunication and Network Engineering, Fotso Victor University Institute of Technology, The University of Dschang, P. O. Box 134, Bandjoun, Cameroon

收稿日期:2018-05-14 修回日期:2018-05-29 出版日期:2018-09-05 发布日期:2018-09-05
通讯作者: Serge Bruno Yamgoué E-mail:sergebruno@yahoo.fr

Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network

Serge Bruno Yamgoué¹, Guy Roger Deffo², Eric Tala-Tebue³, François Beceau Pelap²

1 Department of Physics, Higher Teacher Training College Bambili, the University of Bamenda, P. O. Box 39 Bamenda, Cameroon;
2 Unité de Recherche de Mécanique et de Modélisation des Systémes Physiques(UR-2 MSP), Faculté des Sciences, Université de Dschang, BP 69 Dschang, Cameroun;
3 Department of Telecommunication and Network Engineering, Fotso Victor University Institute of Technology, The University of Dschang, P. O. Box 134, Bandjoun, Cameroon

Received:2018-05-14 Revised:2018-05-29 Online:2018-09-05 Published:2018-09-05
Contact: Serge Bruno Yamgoué E-mail:sergebruno@yahoo.fr

摘要/Abstract

摘要：

Through two methods, we investigate the solitary and periodic wave solutions of the differential equation describing a nonlinear coupled two-dimensional discrete electrical lattice. The fixed points of our model equation are examined and the bifurcations of phase portraits of this equation for various values of the front wave velocity are presented. Using the sine-Gordon expansion method and classic integration, we obtain exact transverse solutions including breathers, bright solitons, and periodic solutions.

关键词: nonlinear electrical lattices, two-dimensional network, sine-Gordon expansion, exact transverse solitary wave solutions

Abstract:

Key words: nonlinear electrical lattices, two-dimensional network, sine-Gordon expansion, exact transverse solitary wave solutions

中图分类号: (Localized modes)

63.20.Pw

Serge Bruno Yamgoué, Guy Roger Deffo, Eric Tala-Tebue, François Beceau Pelap. Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network[J]. 中国物理B, 2018, 27(9): 96301-096301.

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Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network

Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network

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