A novel numerical technique to investigate nonlinear guided waves: Approximation of nonlinear Schrödinger equation by nonperiodic pseudospectral methods

C. De Veronico; D. Funaro; G. C. Reali

doi:10.1002/num.1690100603

A novel numerical technique to investigate nonlinear guided waves: Approximation of nonlinear Schrödinger equation by nonperiodic pseudospectral methods

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100603 ◽

1994 ◽

Vol 10 (6) ◽

pp. 667-675

Author(s):

C. De Veronico ◽

D. Funaro ◽

G. C. Reali

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Guided Waves ◽

Numerical Technique ◽

Nonlinear Schrodinger Equation ◽

Pseudospectral Methods ◽

Nonlinear Schrödinger

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An efficient numerical technique for solution of two-dimensional cubic nonlinear Schrödinger equation with error analysis

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.07.012 ◽

2017 ◽

Vol 83 ◽

pp. 74-86 ◽

Cited By ~ 5

Author(s):

Elyas Shivanian ◽

Ahmad Jafarabadi

Keyword(s):

Schrödinger Equation ◽

Error Analysis ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Numerical Technique ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Cubic Nonlinear Schrödinger Equation

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Error estimates of exponential wave integrator Fourier pseudospectral methods for the nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.09.041 ◽

2019 ◽

Vol 343 ◽

pp. 100-113

Author(s):

Bingquan Ji ◽

Luming Zhang

Keyword(s):

Schrödinger Equation ◽

Error Estimates ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Pseudospectral Methods ◽

Nonlinear Schrödinger ◽

Exponential Wave Integrator ◽

Fourier Pseudospectral

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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 ◽

Cited By ~ 26

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 ◽

Rogue Wave ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Patterns

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Symmetry and Monotonicity of a Nonlinear Schrödinger Equation Involving the Fractional Laplacian

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-021-01158-z ◽

2021 ◽

Author(s):

Li Yuan ◽

Ping Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Fractional Laplacian ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide

AIP Advances ◽

10.1063/5.0053565 ◽

2021 ◽

Vol 11 (6) ◽

pp. 065320

Author(s):

Hassan Almusawa ◽

Md. Nur Alam ◽

Md. Fayz-Al-Asad ◽

M. S. Osman

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Graded Index

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