Analytical solution for the modified nonlinear Schrödinger equation describing optical shock formation

Physical Review E ◽

10.1103/physreve.57.4751 ◽

1998 ◽

Vol 57 (4) ◽

pp. 4751-4756 ◽

Author(s):

Jairo R. de Oliveira ◽

Marco A. de Moura

Keyword(s):

Analytical Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Shock Formation ◽

Nonlinear Schrödinger

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Analytical Solution of the Space-Time Fractional Nonlinear Schrödinger Equation

Reports on Mathematical Physics ◽

10.1016/s0034-4877(16)30002-7 ◽

2016 ◽

Vol 77 (1) ◽

pp. 19-34 ◽

Author(s):

Emad A-B. Abdel-Salam ◽

Eltayeb A. Yousif ◽

Mostafa A. El-Aasser

Keyword(s):

Analytical Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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An exact analytical solution to the nonlinear Schrodinger equation with variable coefficients

10.1117/12.571684 ◽

2005 ◽

Author(s):

Yan Guo ◽

Shuangchun Wen ◽

Ying Li ◽

Junxuan Qi ◽

Qian Wang

Keyword(s):

Analytical Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Exact Analytical Solution ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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An analytical solution to the dissipative nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00476-9 ◽

2003 ◽

Vol 145 (1) ◽

pp. 179-184 ◽

Author(s):

Hilmi Demiray

Keyword(s):

Analytical Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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A new general algebraic method with symbolic computation to construct new exact analytical solution for a (2+1)-dimensional cubic nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.11.034 ◽

2007 ◽

Vol 32 (3) ◽

pp. 1101-1107

Author(s):

Ying Zheng ◽

Yuanyuan Zhang ◽

Hongqing Zhang

Keyword(s):

Analytical Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Symbolic Computation ◽

Schrodinger Equation ◽

Exact Analytical Solution ◽

Algebraic Method ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Cubic Nonlinear Schrödinger Equation

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Exact analytical solution of a novel modified nonlinear Schrödinger equation: Solitary quantum waves on a lattice

Studies in Applied Mathematics ◽

10.1111/sapm.12355 ◽

2020 ◽

Author(s):

Jingxi Luo

Keyword(s):

Analytical Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Exact Analytical Solution ◽

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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