Recent progress in investigating optical rogue waves
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 …
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
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 …
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 …
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 …
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 …
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 …
of the waves in a weakly nonlinear dispersive medium, is studied. Starting from the first …
Generating mechanism for higher-order rogue waves
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 …
nonlinear Schrödinger (NLS) equation: the progressive fusion and fission of n degenerate …
Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation
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 …
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
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 …
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 …
investigated in this paper based on the Hirota bilinear method. The N-soliton solution and …