Nonreciprocal wave transmission through discrete complex saturable Ginzburg–Landau dimer

2022 ◽  
Vol 137 (1) ◽  
Author(s):  
Zohaib Ali ◽  
Khuram Ali
Keyword(s):  
Wave Transmission ◽  
Ginzburg Landau ◽  
Discrete Complex

COMPLEX DYNAMICS IN COUPLED NONLINEAR ELEMENT SYSTEMS

1991 ◽  
Vol 05 (08) ◽  
pp. 1179-1214 ◽  
Author(s):  
KENJU OTSUKA
Keyword(s):  
Nonlinear Oscillator ◽  
Complex Dynamics ◽  
Landau Equation ◽  
Computer Experiments ◽  
Time Dependent ◽  
Chain Model ◽  
Ginzburg Landau ◽  
Physical Systems ◽  
Local Attractors ◽  
Discrete Complex

This paper reviews complex dynamics which arise through the interaction of simple nonlinear elements without chaotic response, including self-induced switching among local attractors (chaotic itinerancy) and related phenomena. Several realistic physical systems consisting of coupled nonlinear elements are considered on the basis of computer experiments: coupled nonlinear oscillator (e.g., discrete complex time-dependent Ginzburg-Landau equation) systems, coupled laser arrays, and a coupled multistable optical chain model.

Generalized Differential Transform Method for Solving Discrete Complex Cubic Ginzburg–Landau Equation

2015 ◽  
Vol 12 (03) ◽  
pp. 1550017 ◽  
Author(s):  
H. Aminikhah ◽  
P. Dehghan
Keyword(s):  
Solitary Wave Solution ◽  
Landau Equation ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Differential Transform Method ◽  
Transform Method ◽  
Ginzburg Landau ◽  
Differential Transform ◽  
Generalized Differential ◽  
Discrete Complex

In this paper, generalized differential transform method (GDTM) is applied to solve discrete complex cubic Ginzburg–Landau (DCCGL) equation which is a famous nonlinear difference-differential equation (NDDE). GDTM approximate solutions for various discrete soliton solutions of DCCGL such as discrete bright soliton, discrete dark soliton, and discrete alternating soliton are obtained. Also this method is successfully employed to obtain approximate solution for dark solitary wave solution of integrable discrete nonlinear Schrödinger (IDNS) equation. Numerical results compared with their corresponding numerical and analytical solutions to show the efficiency and high accuracy of the considered method.

scholarly journals Soliton dynamics based on exact solutions of conformable fractional discrete complex cubic Ginzburg–Landau equation

2021 ◽  
Vol 20 ◽  
pp. 103710
Author(s):  
Jia-Jie Fang ◽  
Da-Sheng Mou ◽  
Yue-Yue Wang ◽  
Hui-Cong Zhang ◽  
Chao-Qing Dai ◽  
...  
Keyword(s):  
Exact Solutions ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Soliton Dynamics ◽  
Ginzburg Landau Equation ◽  
Discrete Complex
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