Eur. Phys. J. Plus (2017) 132: 272
https://doi.org/10.1140/epjp/i2017-11535-4

Regular Article

Second neighbors inducing common frequencies for bright and dark solitons

¹ Department of Telecommunication and Network Engineering, IUT-Fotso Victor of Bandjoun, University of Dschang, P.O. Box 134, Bandjoun, Cameroon
² Laboratory of Mechanics, Department of Physics, Faculty of Sciences, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
³ Materials Sciences Laboratory, Department of Physics, Faculty of Sciences, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
⁴ Nonlinear Physics and Complex Systems Group, Department of Physics, The Higher Teachers’ Training College, University of Yaoundé I, P.O. Box 47, Yaoundé, Cameroon

^* e-mail: tebue2007@gmail.com

Received: 18 March 2016
Accepted: 7 May 2017
Published online: 22 June 2017

Abstract

In this work, the dynamics of modulated waves in a modified Noguchi nonlinear electrical transmission line is studied with the contribution of second neighbors. It comes from this analysis that the line is governed by a dissipative nonlinear Schrödinger equation. One observes that the second neighbors counterbalance the effect of the linear capacitor C_S in the frequency domains. The second neighbors well influence the line by increasing its bandwidth, its group velocity and the magnitude of the wave during its propagation. In the dispersion curve, we show that there exits a new region for the modulational instability/stability compared to the work of Pelap et al. (Phys. Rev. E 91, 022925 (2015)). The exactness of the analytical studies is accredited by numerical calculations. The most important feature of the new region, i.e. the second neighbors, is that the same frequency allows the use of either a bright soliton or a dark soliton depending on the choice of an appropriated wavelength.