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The Nonlinear Schrödinger Equation as Both a PDE and a Dynamical System
Handbook of Dynamical Systems
◽
10.1016/s1874-575x(02)80033-9
◽
2002
◽
pp. 599-675
◽
Cited By ~ 15
Author(s):
David Cai
◽
David W. McLaughlin
◽
Kenneth T.R. McLaughlin
Keyword(s):
Dynamical System
◽
Schrödinger Equation
◽
Nonlinear Schrödinger Equation
◽
Schrodinger Equation
◽
Nonlinear Schrodinger Equation
◽
Nonlinear Schrödinger
Download Full-text
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References
The nonlinear Schrödinger equation as a Galilean‐invariant dynamical system
Journal of Mathematical Physics
◽
10.1063/1.525525
◽
1982
◽
Vol 23
(8)
◽
pp. 1518-1523
◽
Cited By ~ 9
Author(s):
L. Martínez Alonso
Keyword(s):
Dynamical System
◽
Schrödinger Equation
◽
Nonlinear Schrödinger Equation
◽
Schrodinger Equation
◽
Nonlinear Schrodinger Equation
◽
Nonlinear Schrödinger
◽
Galilean Invariant
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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
Download Full-text
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
Download Full-text
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
Download Full-text
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
Download Full-text
New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide
AIP Advances
◽
10.1063/5.0053565
◽
2021
◽
Vol 11
(6)
◽
pp. 065320
Author(s):
Hassan Almusawa
◽
Md. Nur Alam
◽
Md. Fayz-Al-Asad
◽
M. S. Osman
Keyword(s):
Schrödinger Equation
◽
Nonlinear Schrödinger Equation
◽
Schrodinger Equation
◽
Nonlinear Schrodinger Equation
◽
Nonlinear Schrödinger
◽
Graded Index
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Some novel analytical wave solutions to the nonlinear Schrödinger equation using two reliable methods
Results in Physics
◽
10.1016/j.rinp.2021.104562
◽
2021
◽
pp. 104562
Author(s):
B. GÜNAY
Keyword(s):
Schrödinger Equation
◽
Nonlinear Schrödinger Equation
◽
Schrodinger Equation
◽
Nonlinear Schrodinger Equation
◽
Nonlinear Schrödinger
◽
Wave Solutions
◽
Reliable Methods
Download Full-text
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