Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers via the modified PINN
A modified physics-informed neural network is used to predict the dynamics of optical pulses
including one-soliton, two-soliton, and rogue wave based on the coupled nonlinear …
including one-soliton, two-soliton, and rogue wave based on the coupled nonlinear …
Generalized perturbation -fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrödinger equation
In this paper, a simple and constructive method is presented to find the generalized
perturbation (n, M)-fold Darboux transformations (DTs) of the modified nonlinear …
perturbation (n, M)-fold Darboux transformations (DTs) of the modified nonlinear …
Modulational instability, higher-order localized wave structures, and nonlinear wave interactions for a nonautonomous Lenells-Fokas equation in inhomogeneous …
In this paper, the nonautonomous Lenells-Fokas (LF) model is investigated. The
modulational instability analysis of the solutions with variable coefficients in the presence of …
modulational instability analysis of the solutions with variable coefficients in the presence of …
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
CQ Song, DM **ao, ZN Zhu - Communications in Nonlinear Science and …, 2017 - Elsevier
In this paper, we investigate a general integrable nonlocal coupled nonlinear Schrödinger
(NLS) system with the parity-time (PT) symmetry, which contains not only the nonlocal self …
(NLS) system with the parity-time (PT) symmetry, which contains not only the nonlocal self …
[HTML][HTML] Mode conversions and molecular forms of breathers under parameter control
In this paper, the optical breather and its molecular form in optical fiber systems are
considered as the main research object. Mode conversions and interactions between …
considered as the main research object. Mode conversions and interactions between …
[HTML][HTML] Nonlocal general vector nonlinear Schrödinger equations: Integrability, PT symmetribility, and solutions
Z Yan - Applied Mathematics Letters, 2016 - Elsevier
A family of new one-parameter (ϵ x=±1) nonlinear wave models (called G ϵ x (nm) model) is
presented, including both the local (ϵ x= 1) and new integrable nonlocal (ϵ x=− 1) general …
presented, including both the local (ϵ x= 1) and new integrable nonlocal (ϵ x=− 1) general …
Deformation of inhomogeneous vector optical rogue waves in the variable coefficients coupled cubic–quintic nonlinear Schrödinger equations with self-steepening
In this study, we explore variable coefficients coupled cubic–quintic nonlinear Schrödinger
(CQNLS) equations with self-steepening, modeling optical pulse propagation in …
(CQNLS) equations with self-steepening, modeling optical pulse propagation in …
[ספר][B] Rogue waves: Mathematical theory and applications in physics
B Guo, L Tian, Z Yan, L Ling, YF Wang - 2017 - books.google.com
This book gives an overview of the theoretical research on rogue waves and discusses
solutions to rogue wave formation via the Darboux and bilinear transformations, algebro …
solutions to rogue wave formation via the Darboux and bilinear transformations, algebro …
Rogue waves in a two-component Manakov system with variable coefficients and an external potential
We construct rogue waves (RWs) in a coupled two-mode system with the self-focusing
nonlinearity of the Manakov type (equal SPM and XPM coefficients), spatially modulated …
nonlinearity of the Manakov type (equal SPM and XPM coefficients), spatially modulated …
Bright, dark, and mixed vector soliton solutions of the general coupled nonlinear Schrödinger equations
A Agalarov, V Zhulego, T Gadzhimuradov - Physical Review E, 2015 - APS
The reduction procedure for the general coupled nonlinear Schrödinger (GCNLS) equations
with four-wave mixing terms is proposed. It is shown that the GCNLS system is equivalent to …
with four-wave mixing terms is proposed. It is shown that the GCNLS system is equivalent to …