Data driven soliton solution of the nonlinear Schrödinger equation with certain \(\mathcal{PT}\)-symmetric potentials via deep learning (Q6563626)

scientific article; zbMATH DE number 7872794

Language	Label	Description	Also known as
English	Data driven soliton solution of the nonlinear Schrödinger equation with certain \(\mathcal{PT}\)-symmetric potentials via deep learning	scientific article; zbMATH DE number 7872794

Statements

instance of

scholarly article

0 references

title

Data driven soliton solution of the nonlinear Schrödinger equation with certain \(\mathcal{PT}\)-symmetric potentials via deep learning (English)

0 references

0 references

0 references

0 references

0 references

0 references

27 June 2024

0 references

zbMATH Keywords

nonlinear Schrödinger equation

0 references

soliton solution

0 references

deep learning

0 references

symmetric potentials

0 references

MaRDI profile type

Publication

0 references

cites work

Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

0 references

Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach

0 references

Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials

0 references

Dissipative optical solitons in asymmetric Rosen-Morse potential

0 references

Deformation of dark solitons in a PT-invariant variable coefficients nonlocal nonlinear Schrödinger equation

0 references

Learning dynamical systems in noise using convolutional neural networks

0 references

Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data

0 references

Detecting unstable periodic orbits based only on time series: When adaptive delayed feedback control meets reservoir computing

0 references

Identification of chimera using machine learning

0 references

Using machine learning to predict extreme events in the Hénon map

0 references

Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

0 references

The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach

0 references

Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning

0 references

Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning

0 references

Data-driven vector soliton solutions of coupled nonlinear Schrödinger equation using a deep learning algorithm

0 references

Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with \(\mathcal{PT}\)-symmetric harmonic potential via deep learning

0 references

Q4558473

0 references

Learning representations by back-propagating errors

0 references

Large Sample Properties of Simulations Using Latin Hypercube Sampling

0 references

On the limited memory BFGS method for large scale optimization

0 references

Nonlinear Waves in Integrable and Nonintegrable Systems

0 references

Identifiers

zbMATH Open document ID

1542.3536

0 references

DOI

10.1063/5.0086038

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6563626