The physics of the one-dimensional nonlinear Schrödinger equation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena

F Copie, S Randoux, P Suret - Reviews in Physics, 2020 - Elsevier
We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …

On solitary wave solutions for the extended nonlinear Schrödinger equation via the modified F-expansion method

M Ozisik, A Secer, M Bayram - Optical and Quantum Electronics, 2023 - Springer
Because the importance of the optical wave propagation in fibers, we seek for the optical
travelling wave solutions and effect of the third-order dispersion parameter for the extended …

Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems

S Chen, F Baronio, JM Soto-Crespo… - Journal of Physics A …, 2017 - iopscience.iop.org
This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems

BQ Li, YL Ma - Chaos, Solitons & Fractals, 2022 - Elsevier
Multi-wave interaction is an important research field in nonlinear science. In this work, we
investigate the multiple wave interaction properties to the Manakov system which can model …

Physically significant nonlocal nonlinear Schrödinger equation and its soliton solutions

J Yang - Physical Review E, 2018 - APS
An integrable nonlocal nonlinear Schrödinger (NLS) equation with clear physical
motivations is proposed. This equation is obtained from a special reduction of the Manakov …

On the examination of optical soliton pulses of Manakov system with auxiliary equation technique

M Ozisik, A Secer, M Bayram - Optik, 2022 - Elsevier
Purpose: This manuscript addresses to investigate the optical soliton solution of the
Manakov model which governs soliton transmission technology by utilizing the auxiliary …

Nonlinear evolution of the locally induced modulational instability in fiber optics

AE Kraych, P Suret, G El, S Randoux - Physical review letters, 2019 - APS
We report an optical fiber experiment in which we study the nonlinear stage of modulational
instability of a plane wave in the presence of a localized perturbation. Using a recirculating …

A 'firewall'effect during the rogue wave and breather interactions to the Manakov system

BQ Li, YL Ma - Nonlinear Dynamics, 2023 - Springer
By the means of reconstructing the Darboux transformation to the Manakov system, we
obtain the new explicit solutions composed of a rogue wave and a breather for the system …

Universal rogue wave patterns associated with the Yablonskii–Vorob'ev polynomial hierarchy

B Yang, J Yang - Physica D: Nonlinear Phenomena, 2021 - Elsevier
We show that universal rogue wave patterns exist in integrable systems. These rogue
patterns comprise fundamental rogue waves arranged in shapes such as a triangle …

Observation of a group of dark rogue waves in a telecommunication optical fiber

F Baronio, B Frisquet, S Chen, G Millot, S Wabnitz… - Physical Review A, 2018 - APS
Over the past decade, the rogue wave debate has stimulated the comparison of predictions
and observations among different branches of wave physics, particularly between …