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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1807" altimg="si7.svg"><mml:mi>N</mml:mi></mml:math>-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann–Hilbert method and PINN algorithm

Wei‐Qi Peng, Yong Chen

Physica D Nonlinear Phenomena · 2022 · 82 citations · 49 references

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References

49

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

Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics · 2018 · 16.9K citations · Full text

, , +16

On the limited memory BFGS method for large scale optimization

Jorge Nocedal · Mathematical Programming · 1989 · 8.5K citations

, , +12

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

, , +17

Automatic differentiation in machine learning: a survey

Atılım Güneş Baydin, Barak A. Pearlmutter, Alexey Radul et al. · Maynooth University ePrints and eTheses Archive (Maynooth University) · 2015 · 2.1K citations · Full text

, , +10

Large Sample Properties of Simulations Using Latin Hypercube Sampling

Michael L. Stein · Technometrics · 1987 · 2K citations

, , +16