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Chin. Phys. B, 2018, Vol. 27(9): 096301    DOI: 10.1088/1674-1056/27/9/096301
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

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
Abstract  

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.

Keywords:  nonlinear electrical lattices      two-dimensional network      sine-Gordon expansion      exact transverse solitary wave solutions  
Received:  14 May 2018      Revised:  29 May 2018      Published:  05 September 2018
PACS:  63.20.Pw (Localized modes)  
Corresponding Authors:  Serge Bruno Yamgoué     E-mail:  sergebruno@yahoo.fr

Cite this article: 

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 2018 Chin. Phys. B 27 096301

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