Data-driven fusion and fission solutions in the Hirota-Satsuma-Ito equation via the physics-informed neural networks method (Q6497884)

scientific article; zbMATH DE number 7843434

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English	Data-driven fusion and fission solutions in the Hirota-Satsuma-Ito equation via the physics-informed neural networks method	scientific article; zbMATH DE number 7843434

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instance of

scholarly article

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title

Data-driven fusion and fission solutions in the Hirota-Satsuma-Ito equation via the physics-informed neural networks method (English)

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Communications in Theoretical Physics

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publication date

6 May 2024

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zbMATH Keywords

Hirota-Satsuma-Ito equation

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physics-informed neural networks method

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fusion and fission solutions

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MaRDI profile type

MaRDI publication profile

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cites work

Human-level concept learning through probabilistic program induction

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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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Solving second-order nonlinear evolution partial differential equations using deep learning

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A deep learning method for solving third-order nonlinear evolution equations

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A physics-constrained deep residual network for solving the sine-Gordon equation

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

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

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Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions

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Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a \(\mathcal{PT}\)-symmetric optical lattice

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A-PINN: auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations

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Q3995225

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Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background

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Soliton formation and dynamics in the quintic nonlinear media with \(\mathcal{PT}\)-invariant harmonic-Gaussian potential

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High-order soliton solutions and their dynamics in the inhomogeneous variable coefficients Hirota equation

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Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations

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Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions

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Antisoliton model for fission modes.

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Breather trapping mechanism in piecewise homogeneous DNA

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Complexiton solutions to the Hirota‐Satsuma‐Ito equation

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A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle

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Shallow-water-wave studies on a (2 + 1)-dimensional Hirota-Satsuma-Ito system: \(X\)-type soliton, resonant \(Y\)-type soliton and hybrid solutions

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On the limited memory BFGS method for large scale optimization

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The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation

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Generalized Hirota's bilinear equations and their soliton solutions

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Large Sample Properties of Simulations Using Latin Hypercube Sampling

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Identifiers

Mathematics Subject Classification ID

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10.1088/1572-9494/ACFD9C

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Sitelinks

Mathematics(1 entry)

mardi Publication:6497884