The inverse problem for a nonlinear Schrödinger equation

G. Ya. Yagubov; M. A. Musaeva

doi:10.1007/bf02366390

The inverse problem for a nonlinear Schrödinger equation

Journal of Mathematical Sciences ◽

10.1007/bf02366390 ◽

1999 ◽

Vol 97 (2) ◽

pp. 3981-3984

Author(s):

G. Ya. Yagubov ◽

M. A. Musaeva

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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The dynamical inverse problem for a nonlinear Schrodinger equation using boundary control

2003 IEEE International Workshop on Workload Characterization (IEEE Cat No 03EX775) PHYCON-03 ◽

10.1109/phycon.2003.1236996 ◽

2004 ◽

Author(s):

M. Tomas-Rodriguez ◽

S.P. Banks

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Boundary Control ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Quantum inverse problem for the derivative nonlinear Schrödinger equation

Physical Review A ◽

10.1103/physreva.49.4326 ◽

1994 ◽

Vol 49 (6) ◽

pp. 4326-4330 ◽

Cited By ~ 1

Author(s):

A. Ghose Choudhury ◽

A. Roy Chowdhury

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Quantum Inverse ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Inverse problem method for the perturbed nonlinear Schrödinger equation

Physics Letters A ◽

10.1016/0375-9601(77)90330-9 ◽

1977 ◽

Vol 61 (6) ◽

pp. 355-357 ◽

Cited By ~ 26

Author(s):

V.I Karpman ◽

E.M Maslov

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Problem Method ◽

Inverse Problem Method

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Quantum inverse problem for an unstable nonlinear Schrödinger equation: A functional Bethe ansatz

Physical Review A ◽

10.1103/physreva.51.4396 ◽

1995 ◽

Vol 51 (6) ◽

pp. 4396-4399 ◽

Cited By ~ 1

Author(s):

N. Das Gupta ◽

A. Roy Chowdhury

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Bethe Ansatz ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Quantum Inverse ◽

Nonlinear Schrödinger

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Excitation spectrum and quantum inverse problem for an alternative version of the nonlinear Schrödinger equation

Physical Review A ◽

10.1103/physreva.43.1389 ◽

1991 ◽

Vol 43 (3) ◽

pp. 1389-1394 ◽

Cited By ~ 3

Author(s):

A. Roy Chowdhury ◽

Shibani Sen

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Excitation Spectrum ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Quantum Inverse ◽

Nonlinear Schrödinger ◽

Alternative Version

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On the Quantum Inverse Problem for a New Type of Nonlinear Schrödinger Equation for Alfven Waves in Plasma

Symmetries and Singularity Structures - Research Reports in Physics ◽

10.1007/978-3-642-76046-4_16 ◽

1990 ◽

pp. 160-171

Author(s):

S. Sen ◽

A. Roy Chowdhury

Keyword(s):

Inverse Problem ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Alfven Waves ◽

Nonlinear Schrodinger Equation ◽

Alfvén Waves ◽

Quantum Inverse ◽

Nonlinear Schrödinger ◽

New Type

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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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