Nondegenerate bright solitons in coupled nonlinear Schrödinger systems: Recent developments on optical vector solitons

S Stalin, R Ramakrishnan, M Lakshmanan - Photonics, 2021 - mdpi.com
Nonlinear dynamics of an optical pulse or a beam continue to be one of the active areas of
research in the field of optical solitons. Especially, in multi-mode fibers or fiber arrays and …

[HTML][HTML] Dynamical characteristics and physical structure of cusp-like singular solitons in birefringent fibers

A Muniyappan, K Manikandan, AR Seadawy… - Results in Physics, 2024 - Elsevier
In this paper, we explore optical nonlinear waves in a birefringent fiber by investigating the
dynamics of a coupled nonlinear Schrödinger system with four-wave mixing factors. Utilizing …

The generalized Darboux transformation and higher-order rogue waves for a coupled nonlinear Schrödinger system with the four-wave mixing terms in a birefringent …

DY Yang, B Tian, CC Hu, TY Zhou - The European Physical Journal Plus, 2022 - Springer
Optical communication systems play a role in the modern long-distance communication
networks due to their characteristics of the low-loss transmission over the long distances and …

Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system

CC Ding, LW Zhu, H Triki, Q Zhou - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this paper, we investigate the general localized waves on the nonvanishing background
for a coupled generalized nonlinear Schrödinger system with four wave mixing (FWM) effect …

A-WPINN algorithm for the data-driven vector-soliton solutions and parameter discovery of general coupled nonlinear equations

SM Qin, M Li, T Xu, SQ Dong - Physica D: Nonlinear Phenomena, 2023 - Elsevier
This work aims to provide an effective deep learning framework to predict the vector-soliton
solutions of the coupled nonlinear equations and their collisions. The method we propose …

Exact analytical soliton solutions of -component coupled nonlinear Schrödinger equations with arbitrary nonlinear parameters

N Mao, LC Zhao - Physical Review E, 2022 - APS
Exact analytical soliton solutions play an important role in soliton fields. Soliton solutions
were obtained with some special constraints on the nonlinear parameters in nonlinear …

Generalized Darboux transformation and the higher-order semirational solutions for a non-linear Schrödinger system in a birefringent fiber

DY Yang, B Tian, QX Qu, YQ Yuan… - … Physics Letters B, 2020 - World Scientific
Temporal birefringent effects in the fibers change the crosstalk behaviors inside and
between the fiber cores in the linear and non-linear optical power areas. This paper studies …

Solitons and quasi-periodic behaviors in an inhomogeneous optical fiber

JW Yang, YT Gao, CQ Su, DW Zuo, YJ Feng - … in Nonlinear Science and …, 2017 - Elsevier
In this paper, a fifth-order variable-coefficient nonlinear Schrödinger equation for the
attosecond pulses in an inhomogeneous optical fiber is studied. With the aid of auxiliary …

On the exact solutions of nonlinear evolution equations by the improved -expansion method

YS Özkan, E Yaşar - Pramana, 2020 - Springer
In this paper, the improved\tan (φ/2) tan (φ/2)-expansion method (ITEM) is proposed to
obtain more general exact solutions of the nonlinear evolution equations (NLEEs). This …

Vector dark solitons with oscillating background density

TA Gadzhimuradov, GO Abdullaev, AM Agalarov - Nonlinear Dynamics, 2017 - Springer
The system of generalized coupled nonlinear Schrödinger equations is considered. Using
Darboux transformation, a new class of vector dark soliton solutions is obtained. Presented …