Ginzburg–Landau models of nonlinear electric transmission networks

E Kengne, WM Liu, LQ English, BA Malomed - Physics Reports, 2022 - Elsevier
Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

[HTML][HTML] Soliton theory and modulation instability analysis: The Ivancevic option pricing model in economy

Q Chen, HM Baskonus, W Gao, E Ilhan - Alexandria Engineering Journal, 2022 - Elsevier
In this projected paper, we study on the Ivancevic option pricing model. We apply two
important methods, namely, rational sine-Gordon expansion method which is recently …

Modulation instability analysis and analytical solutions to the system of equations for the ion sound and Langmuir waves

KK Ali, R Yilmazer, HM Baskonus, H Bulut - Physica Scripta, 2020 - iopscience.iop.org
The core of this research is to investigate the system of equations for the ion sound and
Langmuir waves through the Bernoulli sub-equation method. It is one of the most effective …

On the resilience of dual-waveguide parametric amplifiers to pump power and phase fluctuations

M Shi, V Ribeiro, AM Perego - Applied Physics Letters, 2023 - pubs.aip.org
Parametric amplifiers based on coupled-core fibers and coupled integrated waveguides are
promising devices for delivering broadband and flat gain spectrum with low noise figure in …

Parametric amplification in lossy nonlinear waveguides with spatially dependent coupling

V Ribeiro, AM Perego - Optics Express, 2022 - opg.optica.org
We present an analytical and numerical study of optical parametric amplification in coupled
waveguides amplifiers accounting for presence of losses and spatially dependent coupling …

Dynamical behaviour of solitons and modulation instability analysis of a nonautonomous (1+ 1)-dimensional nonlinear Schrödinger equation

V Kumar, A Patel - Optik, 2023 - Elsevier
This study uses a semi-inverse variational technique to investigate the unknown dynamical
behaviour of optical solitons in the solutions of a nonautonomous (1+ 1)-dimensional …

Influence of the discrete lattice spacing on the formation of intrinsic localized structures in the Salerno model

ZI Djoufack, JP Nguenang, A Kenfack-Jiotsa - Optik, 2024 - Elsevier
We report in this paper the influence of the discrete lattice spacing on the formation of
intrinsic localized structures in the Salerno model. Through the linear stability analysis …

[HTML][HTML] Dispersion managed generation of Peregrine solitons and Kuznetsov-Ma breather in an optical fiber

DK Mahato, A Govindarajan, M Lakshmanan… - Physics Letters A, 2021 - Elsevier
Optical rogue waves and its variants have been studied quite extensively in the context of
optical fiber in recent years. It has been realized that dispersion management in optical fiber …

Modulation instability analysis of a nonautonomous -dimensional coupled nonlinear Schrödinger equation

A Patel, V Kumar - Nonlinear Dynamics, 2021 - Springer
We have investigated the modulation instability (MI) analysis of a nonautonomous (3+ 1)-
dimensional coupled nonlinear Schrödinger (NLS) equation with time-dependent dispersion …

Non-Lagrangian approach for coupled complex Ginzburg-Landau systems with higher order-dispersion

RB Djob, A Kenfact-Jiotsa, A Govindarajan - Chaos, Solitons & Fractals, 2020 - Elsevier
It is known that after a particular distance of evolution in fiber lasers, two (input) asymmetric
soliton like pulses emerge as two (output) symmetric pulses having same and constant …