Influence of a nonlinear coupling on the supratransmission effect in modified sine-Gordon and Klein-Gordon lattices

被引：18

作者：

Alima, R. ^{[1
,2
]}

Morfu, S. ^{[1
]}

Marquie, P. ^{[1
]}

Bodo, B. ^{[2
]}

Essimbi, B. Z. ^{[2
]}

机构：

[1] Univ Bourgogne Franche Comte, CNRS, FRE2005, LE2I,Arts & Metiers, F-21000 Dijon, France

[2] Univ Yaounde, Univ Yaounde 1, Dept Phys, Lab Elect,Fac Sci, POB 812, Yaounde, Cameroon

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 100卷

关键词：

Supratransmission; Solitons; Localized modes; Nonlinear waveguides; WAVE-GUIDE ARRAYS; TRANSMISSION;

D O I：

10.1016/j.chaos.2017.05.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we analyze the conditions leading to the nonlinear supratransmission phenomenon in two different models: a modified fifth order Klein-Gordon system and a modified sine-Gordon system. The modified models considered here are those with mixed coupling, the pure linear coupling being associated with a nonlinear coupling. Especially, we numerically quantify the influence of the nonlinear coupling coefficient on the threshold amplitude which triggers the nonlinear supratransmission phenomenon. Our main result shows that, in both models, when the nonlinear coupling coefficient increases, the threshold amplitude triggering the nonlinear supratransmission phenomenon decreases. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：91 / 99

页数：9

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