A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions
出版年份 2022 全文链接
标题
A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions
作者
关键词
Two-stage PINN, Localized wave solutions, Soliton molecules, Conserved quantities
出版物
JOURNAL OF COMPUTATIONAL PHYSICS
Volume -, Issue -, Pages 111053
出版商
Elsevier BV
发表日期
2022-02-15
DOI
10.1016/j.jcp.2022.111053
参考文献
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注意:仅列出部分参考文献,下载原文获取全部文献信息。- Soliton, Breather and Rogue Wave Solutions for Solving the Nonlinear Schrödinger Equation Using a Deep Learning Method with Physical Constraints
- (2021) Pu Jun-Cai et al. Chinese Physics B
- Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning
- (2021) Li Wang et al. PHYSICS LETTERS A
- PINN deep learning method for the Chen–Lee–Liu equation: Rogue wave on the periodic background
- (2021) Wei-Qi Peng et al. Communications in Nonlinear Science and Numerical Simulation
- Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations
- (2020) Maziar Raissi et al. SCIENCE
- Soliton molecules, nonlocal symmetry and CRE method of the KdV equation with higher-order corrections
- (2020) Bo Ren et al. PHYSICA SCRIPTA
- Physics-informed semantic inpainting: Application to geostatistical modeling
- (2020) Qiang Zheng et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks
- (2020) Ameya D. Jagtap et al. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Abundant Traveling Wave Structures of (1+1)-Dimensional Sawada-Kotera Equation: Few Cycle Solitons and Soliton Molecules
- (2020) Wei Wang et al. CHINESE PHYSICS LETTERS
- Solving second-order nonlinear evolution partial differential equations using deep learning
- (2020) Jun Li et al. COMMUNICATIONS IN THEORETICAL PHYSICS
- A deep learning method for solving third-order nonlinear evolution equations
- (2020) Jun Li et al. COMMUNICATIONS IN THEORETICAL PHYSICS
- Growing of integrable turbulence
- (2020) D. S. Agafontsev et al. LOW TEMPERATURE PHYSICS
- B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data
- (2020) Liu Yang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- hp-VPINNs: Variational physics-informed neural networks with domain decomposition
- (2020) Ehsan Kharazmi et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations
- (2020) Xiaowei Jin et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Adversarial uncertainty quantification in physics-informed neural networks
- (2019) Yibo Yang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Adaptive activation functions accelerate convergence in deep and physics-informed neural networks
- (2019) Ameya D. Jagtap et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Inverse scattering transformation for generalized nonlinear Schrödinger equation
- (2019) Xiaoen Zhang et al. APPLIED MATHEMATICS LETTERS
- Physics-informed neural networks for high-speed flows
- (2019) Zhiping Mao et al. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
- (2019) Si-Jia Chen et al. Communications in Nonlinear Science and Numerical Simulation
- Darboux transformation of the coupled nonisospectral Gross–Pitaevskii system and its multi-component generalization
- (2018) Tao Xu et al. Communications in Nonlinear Science and Numerical Simulation
- Hidden physics models: Machine learning of nonlinear partial differential equations
- (2018) Maziar Raissi et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Rational solutions of the classical Boussinesq–Burgers system
- (2018) Ming Li et al. NONLINEAR DYNAMICS
- Rogue wave and a pair of resonance stripe solitons to KP equation
- (2018) Xiaoen Zhang et al. COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq–Burgers equation
- (2018) Min-Jie Dong et al. NONLINEAR DYNAMICS
- Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- (2018) M. Raissi et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Inverse scattering transformation and soliton stability for a nonlinear Gross–Pitaevskii equation with external potentials
- (2018) Fajun Yu et al. APPLIED MATHEMATICS LETTERS
- Lie group analysis and dynamical behavior for classical Boussinesq–Burgers system
- (2018) Yao-Lin Jiang et al. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
- A variety of soliton solutions for the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgers equation
- (2017) Abdul-Majid Wazwaz Filomat
- Deformation rogue wave to the (2+1)-dimensional KdV equation
- (2017) Xiaoen Zhang et al. NONLINEAR DYNAMICS
- Localized waves in three-component coupled nonlinear Schrödinger equation
- (2016) Tao Xu et al. Chinese Physics B
- Integrable turbulence generated from modulational instability of cnoidal waves
- (2016) D S Agafontsev et al. NONLINEARITY
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- (2016) Mark J Ablowitz et al. NONLINEARITY
- Rogue wave solutions of AB system
- (2015) Xin Wang et al. Communications in Nonlinear Science and Numerical Simulation
- Higher-order rogue wave solutions of the three-wave resonant interaction equation via the generalized Darboux transformation
- (2015) Xin Wang et al. PHYSICA SCRIPTA
- CTE method to the interaction solutions of Boussinesq–Burgers equations
- (2014) Yun-Hu Wang APPLIED MATHEMATICS LETTERS
- Soliton molecules in dipolar Bose-Einstein condensates
- (2012) Kazimierz Łakomy et al. PHYSICAL REVIEW A
- Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
- (2012) Bin Lu PHYSICS LETTERS A
- Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq–Burgers equations from shallow water waves
- (2011) Pan Wang et al. APPLIED MATHEMATICS AND COMPUTATION
- Multi-soliton solution, rational solution of the Boussinesq–Burgers equations
- (2009) A.S. Abdel Rady et al. Communications in Nonlinear Science and Numerical Simulation
- Darboux Transformations and Soliton Solutions for Classical Boussinesq–Burgers Equation
- (2008) Xu Rui COMMUNICATIONS IN THEORETICAL PHYSICS
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