Abundant vector soliton prediction and model parameter discovery of the coupled mixed derivative nonlinear Schrödinger equation
XK Wen, JH Jiang, W Liu, CQ Dai - Nonlinear Dynamics, 2023 - Springer
Using the extended physics-informed neural network with twin subnets to study the coupled
mixed derivative nonlinear Schrödinger equation (NLSE), seven types of vector solitons …
mixed derivative nonlinear Schrödinger equation (NLSE), seven types of vector solitons …
Dynamic analysis on optical pulses via modified PINNs: Soliton solutions, rogue waves and parameter discovery of the CQ-NLSE
YH Yin, X Lü - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
Under investigation in this paper is the cubic–quintic nonlinear Schrödinger equation, which
describes the propagation of optical on resonant-frequency fields in the inhomogeneous …
describes the propagation of optical on resonant-frequency fields in the inhomogeneous …
Prediction of soliton evolution and equation parameters for NLS–MB equation based on the phPINN algorithm
To enhance the precision and efficiency of result prediction, we proposed a parallel hard-
constraint physics-informed neural networks (phPINN) by combining the parallel fully …
constraint physics-informed neural networks (phPINN) by combining the parallel fully …
[HTML][HTML] On new diverse variety analytical optical soliton solutions to the perturbed nonlinear Schrödinger equation
This study focuses on investigating the optical soliton solutions for the perturbed nonlinear
Schrödinger equation involving Kerr nonlinearity. It should be noted that the non-integrable …
Schrödinger equation involving Kerr nonlinearity. It should be noted that the non-integrable …
Dispersive optical solitons to stochastic resonant NLSE with both spatio-temporal and inter-modal dispersions having multiplicative white noise
EME Zayed, MEM Alngar, RMA Shohib - Mathematics, 2022 - mdpi.com
The current article studies optical solitons solutions for the dimensionless form of the
stochastic resonant nonlinear Schrödinger equation (NLSE) with both spatio-temporal …
stochastic resonant nonlinear Schrödinger equation (NLSE) with both spatio-temporal …
PT-symmetric solitons and parameter discovery in self-defocusing saturable nonlinear Schrödinger equation via LrD-PINN
BW Zhu, WB Bo, QH Cao, KL Geng… - … Journal of Nonlinear …, 2023 - pubs.aip.org
We propose a physical information neural network with learning rate decay strategy (LrD-
PINN) to predict the dynamics of symmetric, asymmetric, and antisymmetric solitons of the …
PINN) to predict the dynamics of symmetric, asymmetric, and antisymmetric solitons of the …
Two-dimensional line defect lattice solitons in nonlinear fractional Schrödinger equation
S Wang, W Chen, W Liu, D Song, X Han, L Wang… - Optics & Laser …, 2024 - Elsevier
The existence, stability, and propagation dynamics of two-dimensional line defect lattice
solitons (LDLSs) in a photorefractive crystal with focusing saturable nonlinearity under …
solitons (LDLSs) in a photorefractive crystal with focusing saturable nonlinearity under …
Data-driven forward-inverse problems of the 2-coupled mixed derivative nonlinear Schrödinger equation using deep learning
WX Qiu, KL Geng, BW Zhu, W Liu, JT Li, CQ Dai - Nonlinear Dynamics, 2024 - Springer
In recent years, generative adversarial networks (GAN) has achieved great success in
generating realistic images. However, the instability of GAN and the lower accuracy of …
generating realistic images. However, the instability of GAN and the lower accuracy of …
Vector ring-like combined Akhmediev breathers for partially nonlocal nonlinearity under external potentials
YJ Xu - Chaos, Solitons & Fractals, 2023 - Elsevier
Via the link between φ p of a (3+ 1)-dimensional variable-coefficient coupled partially
nonlocal nonlinear Schrödinger system (NLSS) and Φ of constant-coefficient NLSS …
nonlocal nonlinear Schrödinger system (NLSS) and Φ of constant-coefficient NLSS …
Predicting ultrafast nonlinear dynamics in fiber optics by enhanced physics-informed neural network
Ultrafast nonlinear dynamics plays a crucial role in ultrafast optics, necessitating accurate
solutions to the generalized nonlinear Schrödinger equation (GNLSE) for understanding its …
solutions to the generalized nonlinear Schrödinger equation (GNLSE) for understanding its …