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The physics of the one-dimensional nonlinear Schrödinger equation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena
We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …
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
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 …
travelling wave solutions and effect of the third-order dispersion parameter for the extended …
Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems
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 …
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 …
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 …
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
Purpose: This manuscript addresses to investigate the optical soliton solution of the
Manakov model which governs soliton transmission technology by utilizing the auxiliary …
Manakov model which governs soliton transmission technology by utilizing the auxiliary …
Nonlinear evolution of the locally induced modulational instability in fiber optics
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 …
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 …
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 …
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
Over the past decade, the rogue wave debate has stimulated the comparison of predictions
and observations among different branches of wave physics, particularly between …
and observations among different branches of wave physics, particularly between …