Prediction of the number of solitons for initial value of nonlinear Schrödinger equation based on the deep learning method
From MaRDI portal
Publication:2107244
DOI10.1016/J.PHYSLETA.2022.128536OpenAlexW4308658801MaRDI QIDQ2107244
Publication date: 1 December 2022
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2022.128536
Related Items (1)
Uses Software
Cites Work
- Computation of the direct scattering transform for the nonlinear Schrödinger equation
- A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions
- \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm
- Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- Human-level concept learning through probabilistic program induction
- Spectral Methods
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- Structure of a quantized vortex in boson systems
- Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks
- Numerical inverse scattering for the focusing and defocusing nonlinear Schrödinger equations
- Solving second-order nonlinear evolution partial differential equations using deep learning
- A deep learning method for solving third-order nonlinear evolution equations
This page was built for publication: Prediction of the number of solitons for initial value of nonlinear Schrödinger equation based on the deep learning method