Solitons as invariant tori in the perturbed nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(86)90142-9 ◽

1986 ◽

Vol 23 (1-3) ◽

pp. 369-373 ◽

Author(s):

Kazuhiro Nozaki

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Invariant Tori ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Invariant tori of nonlinear Schrödinger equation

Journal of Differential Equations ◽

10.1016/j.jde.2009.01.031 ◽

2009 ◽

Vol 246 (8) ◽

pp. 3296-3331 ◽

Author(s):

Yixian Gao ◽

Yong Li ◽

Jin Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Invariant Tori ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Invariant tori for a derivative nonlinear Schrödinger equation with quasi-periodic forcing

Journal of Mathematical Physics ◽

10.1063/1.4916287 ◽

2015 ◽

Vol 56 (3) ◽

pp. 032702 ◽

Author(s):

Jie Liu ◽

Jianguo Si

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Invariant Tori ◽

Nonlinear Schrodinger Equation ◽

Periodic Forcing ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Invariant tori of full dimension for a nonlinear Schrödinger equation

Journal of Differential Equations ◽

10.1016/j.jde.2011.09.006 ◽

2012 ◽

Vol 252 (1) ◽

pp. 1-34 ◽

Author(s):

Jiansheng Geng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Invariant Tori ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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Lower dimensional invariant tori with prescribed frequency for the nonlinear Schrödinger equation

Nonlinear Analysis ◽

10.1016/j.na.2013.07.001 ◽

2013 ◽

Vol 92 ◽

pp. 30-46 ◽

Author(s):

Xiufang Ren ◽

Jiansheng Geng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Invariant Tori ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Lower Dimensional Invariant Tori ◽

Lower Dimensional

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Invariant tori of a nonlinear Schrödinger equation with quasi-periodically unbounded perturbations

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2017002 ◽

2017 ◽

Vol 16 (1) ◽

pp. 25-68 ◽

Author(s):

Jie Liu ◽

◽

Jianguo Si ◽

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Invariant Tori ◽

Nonlinear Schrodinger Equation ◽

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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