Solving forward and inverse problems of the nonlinear Schrödinger equation with generalized PT-symmetric Scarf-II potential via the PINNs deep learning

Communications in Theoretical Physics ◽

10.1088/1572-9494/ac2055 ◽

2021 ◽

Author(s):

Jiaheng Li ◽

Biao Li

Keyword(s):

Deep Learning ◽

Inverse Problems ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with PT-symmetric harmonic potential via deep learning

Physics Letters A ◽

10.1016/j.physleta.2020.127010 ◽

2021 ◽

Vol 387 ◽

pp. 127010

Author(s):

Zijian Zhou ◽

Zhenya Yan

Keyword(s):

Deep Learning ◽

Inverse Problems ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Harmonic Potential ◽

Nonlinear Schrödinger

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Deep Learning of the Nonlinear Schrödinger Equation in Fiber-Optic Communications

2018 IEEE International Symposium on Information Theory (ISIT) ◽

10.1109/isit.2018.8437734 ◽

2018 ◽

Author(s):

Christian Hager ◽

Henry D. Pfister

Keyword(s):

Deep Learning ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Fiber Optic ◽

Nonlinear Schrodinger Equation ◽

Fiber Optic Communications ◽

Nonlinear Schrödinger

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A deep learning improved numerical method for the simulation of rogue waves of nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.105896 ◽

2021 ◽

pp. 105896

Author(s):

Rui-Qi Wang ◽

Liming Ling ◽

Delu Zeng ◽

Bao-Feng Feng

Keyword(s):

Deep Learning ◽

Schrödinger Equation ◽

Numerical Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Solvability of the Direct and Inverse Problems for the Nonlinear Schrödinger Equation

Acta Applicandae Mathematicae ◽

10.1007/s10440-005-1160-y ◽

2005 ◽

Vol 87 (1-3) ◽

pp. 245-280 ◽

Author(s):

Javier Villarroel ◽

Mark J. Ablowitz ◽

Barbara Prinari

Keyword(s):

Inverse Problems ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Direct And Inverse Problems ◽

Nonlinear Schrödinger

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Nonlinear Schrödinger Equation-Based Adjoint Sensitivity Analysis

2020 International Applied Computational Electromagnetics Society Symposium (ACES) ◽

10.23919/aces49320.2020.9196096 ◽

2020 ◽

Author(s):

Mahmoud M. T. Maghrabi ◽

Mohamed H. Bakr ◽

Shiva Kumar

Keyword(s):

Sensitivity Analysis ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Adjoint Sensitivity Analysis ◽

Adjoint Sensitivity ◽

Nonlinear Schrödinger

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Higher-order nonlinear Schrödinger equation in 2D case

Tohoku Mathematical Journal ◽

10.2748/tmj/1585101619 ◽

2020 ◽

Vol 72 (1) ◽

pp. 15-37

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Some properties of small perturbations against a stationary solution of the nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109570 ◽

2020 ◽

Vol 132 ◽

pp. 109570

Author(s):

Mikhail N. Smolyakov

Keyword(s):

Schrödinger Equation ◽

Stationary Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Small Perturbations ◽

Nonlinear Schrödinger

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Integrable equations of the infinite nonlinear Schrödinger equation hierarchy with time variable coefficients

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4931710 ◽

2015 ◽

Vol 25 (10) ◽

pp. 103114 ◽

Author(s):

D. J. Kedziora ◽

A. Ankiewicz ◽

A. Chowdury ◽

N. Akhmediev

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Time Variable ◽

Integrable Equations ◽

Nonlinear Schrödinger

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Lie Symmetry Analysis of the Nonlinear Schrödinger Equation with Time Dependent Variable Coefficients

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00953-3 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Preeti Devi ◽

K. Singh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Lie Symmetry ◽

Nonlinear Schrodinger Equation ◽

Symmetry Analysis ◽

Time Dependent ◽

Lie Symmetry Analysis ◽

Nonlinear Schrödinger

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Rogue wave patterns in the nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2021.132850 ◽

2021 ◽

Vol 419 ◽

pp. 132850

Author(s):

Bo Yang ◽

Jianke Yang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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