Solitons and Ultra-Short Optical Waves: The Short-Pulse Equation Versus the Nonlinear Schrödinger Equation

Non-Diffracting Waves ◽

10.1002/9783527671519.ch22 ◽

2013 ◽

pp. 451-471 ◽

Author(s):

Jose Nathan Kutz ◽

Edward Farnum

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Short Pulse ◽

Nonlinear Schrodinger Equation ◽

Optical Waves ◽

Nonlinear Schrödinger ◽

Short Pulse Equation ◽

Equation Versus

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Painlevé analysis of the coupled nonlinear Schrödinger equation for polarized optical waves in an isotropic medium

Physical Review E ◽

10.1103/physreve.59.2373 ◽

1999 ◽

Vol 59 (2) ◽

pp. 2373-2379 ◽

Author(s):

Q-Han Park ◽

H. J. Shin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Isotropic Medium ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Painlevé Analysis ◽

Optical Waves ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Painleve Analysis

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Modulational instability of optical waves in the high dispersive cubic–quintic nonlinear Schrödinger equation

Optics Communications ◽

10.1016/s0030-4018(02)02046-1 ◽

2002 ◽

Vol 213 (1-3) ◽

pp. 173-182 ◽

Author(s):

Woo-Pyo Hong

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Nonlinear Schrodinger Equation ◽

Optical Waves ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Condensation of classical optical waves beyond the cubic nonlinear Schrödinger equation

Optics Communications ◽

10.1016/j.optcom.2012.07.081 ◽

2012 ◽

Vol 285 (24) ◽

pp. 5440-5448 ◽

Author(s):

Antonio Picozzi ◽

Sergio Rica

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Optical Waves ◽

Nonlinear Schrödinger ◽

Cubic Nonlinear Schrödinger Equation

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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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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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