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

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

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
Accepted manuscript online:

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

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