A new method for solving nonlinear partial differential equations based on liquid time-constant networks (Q6130983)

scientific article; zbMATH DE number 7827313

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English	A new method for solving nonlinear partial differential equations based on liquid time-constant networks	scientific article; zbMATH DE number 7827313

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instance of

scholarly article

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title

A new method for solving nonlinear partial differential equations based on liquid time-constant networks (English)

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published in

Journal of Systems Science and Complexity

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publication date

3 April 2024

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zbMATH Keywords

nonlinear partial differential equations

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numerical solutions

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physics-informed liquid networks

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physics-informed neural networks

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11424-024-3349-z

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A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques

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Combining machine learning and domain decomposition methods for the solution of partial differential equations—A review

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Fractal solitons, arbitrary function solutions, exact periodic wave and breathers for a nonlinear partial differential equation by using bilinear neural network method

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

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Data-driven discoveries of Bäcklund transformations and soliton evolution equations via deep neural network learning schemes

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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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Deep learning soliton dynamics and complex potentials recognition for 1D and 2D \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger 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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PhyCRNet: physics-informed convolutional-recurrent network for solving spatiotemporal PDEs

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Weak adversarial networks for high-dimensional partial differential equations

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Adaptive activation functions accelerate convergence in deep and physics-informed neural networks

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Q3834443

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Nonlinear Waves in Integrable and Nonintegrable Systems

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11424-024-3349-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:6130983