Modulational instability and peak solitary wave in a discrete nonlinear electrical transmission line described by the modified extended nonlinear Schrodinger equation

被引：23
|
作者：
Deffo, Guy Roger [1 ]
Yamgoue, Serge Bruno [2 ]
Pelap, Francois Beceau [1 ]
机构：
[1] Univ Dschang, Fac Sci, UR 2MSP, BP 69, Dschang, Cameroon
[2] Univ Bamenda, Higher Teacher Training Coll Bambili, Dept Phys, POB 39, Bamenda, Cameroon
来源：
EUROPEAN PHYSICAL JOURNAL B | 2018年 / 91卷 / 10期
关键词：
OPTICAL FIBERS; DEEP-WATER; PROPAGATION; GENERATION; SOLITONS; REGIME; TRAIN;
D O I：
10.1140/epjb/e2018-90217-3
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
The present work describes the propagation of plane and peak solitary waves in a modified extended nonlinear Schrodinger (MENLS) equation that was earlier shown to govern the dynamics of modulated waves in a discrete nonlinear electrical transmission line (DNLETL). Firstly, the analytic expression for the modulational instability gain is found and the influence of wavenumber and wave amplitude on the gain is derived. It is predicted that they can be used to control the occurrence of modulation instability phenomenon in the network. Afterwards, using the MENLS equation, we show that this model of nonlinear electrical transmission line admits peak solitary wave for physically realistic parameters of the system. Direct numerical simulations are performed on the exact equations of the lattice and the obtained results are in very good agreement with the analytical predictions.
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页数：9
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