On the Global Behavior of Solutions of a Coupled System of Nonlinear Schrödinger Equation

Edès Destyl; Sylvere Paul Nuiro; Pascal Poullet

doi:10.1111/sapm.12150

On the Global Behavior of Solutions of a Coupled System of Nonlinear Schrödinger Equation

Studies in Applied Mathematics ◽

10.1111/sapm.12150 ◽

2016 ◽

Vol 138 (2) ◽

pp. 227-244 ◽

Cited By ~ 1

Author(s):

Edès Destyl ◽

Sylvere Paul Nuiro ◽

Pascal Poullet

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Coupled System ◽

Nonlinear Schrodinger Equation ◽

Global Behavior ◽

Nonlinear Schrödinger

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On global behavior for complex soliton solutions of the perturbed nonlinear Schrödinger equation in nonlinear optical fibers

Journal of Ocean Engineering and Science ◽

10.1016/j.joes.2021.09.018 ◽

2021 ◽

Author(s):

M.S. Osman ◽

Hassan Almusawa ◽

Kalim U. Tariq ◽

Sadia Anwar ◽

Sachin Kumar ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Optical Fibers ◽

Schrodinger Equation ◽

Nonlinear Optical ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Global Behavior ◽

Nonlinear Schrödinger

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Multi-Soliton Solutions of a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations

Journal of the Physical Society of Japan ◽

10.1143/jpsj.63.885 ◽

1994 ◽

Vol 63 (3) ◽

pp. 885-894 ◽

Cited By ~ 38

Author(s):

Saburo Kakei ◽

Junkichi Satsuma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Coupled System ◽

Nonlinear Schrodinger Equation ◽

Bloch Equations ◽

Nonlinear Schrödinger ◽

Maxwell Bloch Equations

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Global Behavior of Finite Energy Solutions to the d-Dimensional Focusing Nonlinear Schrodinger Equation

Applied Mathematics Research eXpress ◽

10.1093/amrx/abt008 ◽

2013 ◽

Cited By ~ 2

Author(s):

C. D. Guevara

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Finite Energy ◽

Nonlinear Schrodinger Equation ◽

Global Behavior ◽

Nonlinear Schrödinger

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Optical Soliton Propagation in a Coupled System of the Nonlinear Schrödinger Equation and the Maxwell-Bloch Equations

Journal of Modern Optics ◽

10.1080/09500349514551691 ◽

1995 ◽

Vol 42 (9) ◽

pp. 1953-1958 ◽

Cited By ~ 32

Author(s):

K. Porsezian ◽

K. Nakkeeran

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Coupled System ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Bloch Equations ◽

Soliton Propagation ◽

Nonlinear Schrödinger ◽

Maxwell Bloch Equations

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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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