Data-driven solutions and parameter discovery of the extended higher-order nonlinear Schrödinger equation in optical fibers
DOI10.1016/j.physd.2024.134284zbMATH Open1546.35221MaRDI QIDQ6599856
Publication date: 6 September 2024
Published in: Physica D (Search for Journal in Brave)
solitonrogue wavephysics-informed neural networksparameter discoveryextended higher-order nonlinear Schrödinger equation
Artificial neural networks and deep learning (68T07) PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with \(\mathcal{PT}\)-symmetric harmonic potential via deep learning
- PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
- Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning
- \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm
- Galilean-transformed solitons and supercontinuum generation in dispersive media
- Predicting the dynamic process and model parameters of the vector optical solitons in birefringent fibers \textit{via} the modified PINN
- Dark solitonic excitations and collisions from a fourth-order dispersive nonlinear Schrödinger model for the alpha helical protein
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Data-driven forward and inverse problems for chaotic and hyperchaotic dynamic systems based on two machine learning architectures
- Exact envelope-soliton solutions of a nonlinear wave equation
- Dynamic analysis on optical pulses via modified PINNs: soliton solutions, rogue waves and parameter discovery of the CQ-NLSE
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