A spectral transform for the intermediate nonlinear Schrödinger equation

Dmitry E. Pelinovsky; Roger H. J. Grimshaw

doi:10.1063/1.530956

A spectral transform for the intermediate nonlinear Schrödinger equation

Journal of Mathematical Physics ◽

10.1063/1.530956 ◽

1995 ◽

Vol 36 (8) ◽

pp. 4203-4219 ◽

Cited By ~ 14

Author(s):

Dmitry E. Pelinovsky ◽

Roger H. J. Grimshaw

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Spectral Transform

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Exact solution via the spectral transform of a generalization with linearlyx-dependent coefficients of the nonlinear Schrödinger equation

Lettere al Nuovo Cimento ◽

10.1007/bf02856160 ◽

1978 ◽

Vol 22 (10) ◽

pp. 420-424 ◽

Cited By ~ 42

Author(s):

F. Calogero ◽

A. Degasperis

Keyword(s):

Exact Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Spectral Transform

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Inverse spectral transform analysis of a nonlinear Schrödinger equation with x-dependent coefficients

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(85)90018-1 ◽

1985 ◽

Vol 16 (3) ◽

pp. 405-413 ◽

Cited By ~ 8

Author(s):

Radha Balakrishnan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Spectral Transform ◽

Inverse Spectral

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Modified nonlinear Schrödinger equation: Spectral transform and N‐soliton solution

Journal of Mathematical Physics ◽

10.1063/1.531204 ◽

1995 ◽

Vol 36 (12) ◽

pp. 7009-7023 ◽

Cited By ~ 11

Author(s):

E. V. Doktorov ◽

V. S. Shchesnovich

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Spectral Transform

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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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