Recent progress in investigating optical rogue waves

N Akhmediev, JM Dudley, DR Solli… - Journal of optics, 2013 - iopscience.iop.org
The science of rogue waves in optics is now over five years old, and it has emerged as an
area of broad interest to researchers across the physical sciences [1]. This area of study was …

Dynamic study of multi-peak solitons and other wave solutions of new coupled KdV and new coupled Zakharov–Kuznetsov systems with their stability

J Wang, K Shehzad, AR Seadawy… - Journal of Taibah …, 2023 - Taylor & Francis
In this paper, our aim is to further expand the use of the two-variable (G′/G, 1/G)-expansion
approach to a new coupled KdV and ZK system, which has various significant applications …

Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN

Y Fang, GZ Wu, YY Wang, CQ Dai - Nonlinear Dynamics, 2021 - Springer
We use the physics-informed neural network to solve a variety of femtosecond optical soliton
solutions of the high-order nonlinear Schrödinger equation, including one-soliton solution …

Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation

BQ Li, YL Ma - Applied Mathematics and Computation, 2020 - Elsevier
An extended generalized Darboux transformation method is proposed to construct the
hybrid rogue wave and breather solutions for a classical nonlinear Schrödinger equation …

N-fold generalized Darboux transformation and asymptotic analysis of the degenerate solitons for the Sasa-Satsuma equation in fluid dynamics and nonlinear optics

XH Wu, YT Gao, X Yu, CC Ding - Nonlinear Dynamics, 2023 - Springer
In this paper, the Sasa-Satsuma equation in fluid dynamics and nonlinear optics is
investigated. Starting from the first-order Darboux transformation, we construct an N-fold …

N-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium

XH Wu, YT Gao, X Yu, CC Ding - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, a three-wave resonant interaction system, which describes the resonant mixing
of the waves in a weakly nonlinear dispersive medium, is studied. Starting from the first …

Generating mechanism for higher-order rogue waves

JS He, HR Zhang, LH Wang, K Porsezian… - Physical Review E …, 2013 - APS
We introduce a mechanism for generating higher-order rogue waves (HRWs) of the
nonlinear Schrödinger (NLS) equation: the progressive fusion and fission of n degenerate …

Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation

LH Wang, K Porsezian, JS He - Physical Review E—Statistical, Nonlinear, and …, 2013 - APS
In this paper, using the Darboux transformation, we demonstrate the generation of first-order
breather and higher-order rogue waves from a generalized nonlinear Schrödinger equation …

Periodic attenuating oscillation between soliton interactions for higher-order variable coefficient nonlinear Schrödinger equation

X Liu, W Liu, H Triki, Q Zhou, A Biswas - Nonlinear Dynamics, 2019 - Springer
According to the change in the amplitude of the oscillation, it can be divided into equal-
amplitude oscillation, amplitude-reduced oscillation (attenuating oscillation) and amplitude …

The dynamics of some exact solutions of the (3+ 1)-dimensional generalized shallow water wave equation

L Ying, M Li - Nonlinear Dynamics, 2023 - Springer
Abstract The (3+ 1)-dimensional generalized shallow water wave equation is systematically
investigated in this paper based on the Hirota bilinear method. The N-soliton solution and …