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

共 50 条

[41] A new numerical method for discretization of the nonlinear Klein-Gordon model arising in light waves
Mesgarani, Hamid
Aghdam, Yones Esmaeelzade
Darabi, Ezzatollah
JOURNAL OF MATHEMATICAL MODELING, 2024, 12 (01): : 71 - 84
[42] On asymptotic stability of solitary waves in discrete Klein-Gordon equation coupled to a nonlinear oscillator
Kopylova, E. A.
APPLICABLE ANALYSIS, 2010, 89 (09) : 1467 - 1492
[43] Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations
Kenjiro Ishizuka
Kenji Nakanishi
Annals of PDE, 2023, 9
[44] Nonlinear wave transmission in harmonically driven hamiltonian sine-Gordon regimes with memory effects
Macias-Diaz, J. E.
CHAOS SOLITONS & FRACTALS, 2021, 142
[45] Long-time asymptotics of the damped nonlinear Klein-Gordon equation with a delta potential
Ishizuka, Kenjiro
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2025, 253
[46] Moving nonlinear localized modes for one-dimensional Klein-Gordon diatomic lattice
Zhou, GH
Pan, LX
Yan, JR
CHINESE PHYSICS, 2001, 10 (08): : 689 - 693
[47] Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks
Demirkaya, A.
Frantzeskakis, D. J.
Kevrekidis, P. G.
Saxena, A.
Stefanov, A.
PHYSICAL REVIEW E, 2013, 88 (02):
[48] Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space
Maccari, A
PHYSICA D, 2000, 135 (3-4): : 331 - 344
[49] Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations
Ishizuka, Kenjiro
Nakanishi, Kenji
ANNALS OF PDE, 2023, 9 (01)
[50] Breather Transitions and Their Mechanisms of a (2+1)-Dimensional Sine-Gordon Equation and a Modified Boussinesq Equation in Nonlinear Dynamics
Gao, Qian
Tian, Shou-Fu
Liu, Ji-Chuan
Wu, Yan-Qiang
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (04)

← 1 2 3 4 5 →