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 …

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 …

Prediction of soliton evolution and equation parameters for NLS–MB equation based on the phPINN algorithm

SY Xu, Q Zhou, W Liu - Nonlinear Dynamics, 2023 - Springer
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 …

[HTML][HTML] On new diverse variety analytical optical soliton solutions to the perturbed nonlinear Schrödinger equation

C Zhu, SAO Abdallah, S Rezapour, S Shateyi - Results in Physics, 2023 - Elsevier
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 …

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 …

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 …

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 …

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 …

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 …

Predicting ultrafast nonlinear dynamics in fiber optics by enhanced physics-informed neural network

X Jiang, M Zhang, Y Song, H Chen… - Journal of Lightwave …, 2023 - ieeexplore.ieee.org
Ultrafast nonlinear dynamics plays a crucial role in ultrafast optics, necessitating accurate
solutions to the generalized nonlinear Schrödinger equation (GNLSE) for understanding its …