Data-driven rogue waves solutions for the focusing and variable coefficient nonlinear Schrödinger equations via deep learning (Q6592624)

scientific article; zbMATH DE number 7901234

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English	Data-driven rogue waves solutions for the focusing and variable coefficient nonlinear Schrödinger equations via deep learning	scientific article; zbMATH DE number 7901234

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title

Data-driven rogue waves solutions for the focusing and variable coefficient nonlinear Schrödinger equations via deep learning (English)

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26 August 2024

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Publication

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cites work

A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients

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Designable Integrability of the Variable Coefficient Nonlinear Schrödinger Equations

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

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Scientific machine learning through physics-informed neural networks: where we are and what's next

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B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data

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fPINNs: Fractional Physics-Informed Neural Networks

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\textit{hp}-VPINNs: variational physics-informed neural networks with domain decomposition

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Conservative physics-informed neural networks on discrete domains for conservation laws: applications to forward and inverse problems

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Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

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Weak adversarial networks for high-dimensional partial differential equations

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PhyGeoNet: physics-informed geometry-adaptive convolutional neural networks for solving parameterized steady-state PDEs on irregular domain

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Physical informed memory networks for solving PDEs: implementation and applications

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Data-driven rogue waves and parameters discovery in nearly integrable \(\mathcal{PT}\)-symmetric Gross-Pitaevskii equations via PINNs deep learning

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PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background

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Soliton and rogue wave solution of the new nonautonomous nonlinear Schrödinger equation

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Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates

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Identifiers

DOI

10.1063/5.0209068

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6592624