Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in …

YL Ma - Nonlinear Dynamics, 2019 - Springer
A generalized nonlinear Schrödinger system is investigated, which can be used to describe
the optical pulse propagation in inhomogeneous optical fibers with the fourth-and third-order …

Predicting the soliton dynamics and system parameters in optical fiber couplers

A Yang, S Xu, H Liu, N Li, Y Sun - Nonlinear Dynamics, 2024 - Springer
This work predicts the soliton dynamics and parameter discovery for the coupled nonlinear
Schrödinger equations in asymmetric fiber couplers. Using exact one-and two-soliton …

Attenuated solitons through some dispersion profiles in a tapered inhomogeneous fiber with erbium effect

N Prathap, MI Ahamed, AS Alqahtani… - Optical and Quantum …, 2024 - Springer
In this work, we study the propagation of optical solitons in a tapered optical fiber with
attenuating effects under the effect of erbium dopants. Through the constructed Lax pair, two …

The interaction of three long shallow-water waves with different dispersion relations modeled by generalized Hirota–Satsuma KdV systems with some variable …

PK Das - Nonlinear Dynamics, 2023 - Springer
In this study, the generalized Hirota–Satsuma KdV systems with with some variable
coefficients is used to simulate the interaction of three long waves in shallow water with …

Investigation of W and M shaped solitons in an optical fiber for eighth order nonlinear Schrödinger (NLS) equation

GS Uthayakumar, G Rajalakshmi, AR Seadawy… - Optical and Quantum …, 2024 - Springer
In an optical fiber, we report on our study of pulse compression using an analytical method.
A significant role for the eighth order nonlinear Schrödinger (NLS) equation may be seen in …

Optical devices: motion via breathers, rogue waves and rational solitons

U Rehman, S Ahmed, AM Mubaraki - Optical and Quantum Electronics, 2024 - Springer
The main focus is on using the logarithmic transformation and symbolic computation with
ansatz functions scheme to analyse solitons theoretically in the ring-cavity fibre laser system …

Transmission of soliton for a coupled Radhakrishnan–Kundu–Lakshmanan equation in an optical fiber using the Jacobi elliptical sn function method

VS Pandi, A Muniyappan, A Muthuraja, A Althobaiti… - Optik, 2024 - Elsevier
We examine a coupled Radhakrishnan-Kundu-Lakshmanan (cRKL) equation that includes
self-phase modulation, third order dispersion, self-steepening, and cross-phase modulation …

Modulational instability in a tapered erbium doped fiber with inhomogeneous broadening

MS Mani Rajan, S Veni - Optical and Quantum Electronics, 2022 - Springer
Abstract Nonlinear Schrödinger–Maxwell Bloch equation with tapered term is considered
which describes the optical soliton propagation in a tapered erbium doped fiber. Especially …

Double degeneration on second-order breather solutions of Maxwell–Bloch equation

S Xu, J He, K Porsezian - Wave Motion, 2018 - Elsevier
The breather solutions of the Maxwell–Bloch equations in a two-level resonant system
associated with the self-induced transparency phenomenon are constructed by the Darboux …

[HTML][HTML] 含自相位调制非线性薛定谔方程的同伦分析

单可, 戴春松, 梁雨珂, 吴粉, 周昱 - Pure Mathematics, 2024 - hanspub.org
基于同伦分析方法研究了含自相位调制的非线性薛定谔方程. 该方程可以用来描述光信号在光纤
传输过程中因损耗, 色散等导致的体系非线性效应. 求出了方程的孤子解和周期解 …