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

Mapping Intimacies ◽

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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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 ◽

Quantum Waves

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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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Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-021-06284-8 ◽

2021 ◽

Vol 104 (1) ◽

pp. 639-648 ◽

Cited By ~ 2

Author(s):

Tukur Abdulkadir Sulaiman ◽

Abdullahi Yusuf ◽

Marwan Alquran

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Optical Solitons ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Complex Wave

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Nonlinear tunneling effect in the (2+1)-dimensional cubic-quintic nonlinear Schrödinger equation with variable coefficients

The European Physical Journal D ◽

10.1140/epjd/e2011-20031-6 ◽

2011 ◽

Vol 63 (1) ◽

pp. 141-148 ◽

Cited By ~ 16

Author(s):

C. Q. Dai ◽

Q. Yang ◽

J. D. He ◽

Y. Y. Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Tunneling Effect ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with $$\mathscr {PT}$$-symmetric Rosen–Morse potential

The European Physical Journal B ◽

10.1140/epjb/s10051-021-00123-w ◽

2021 ◽

Vol 94 (6) ◽

Author(s):

K. Manikandan ◽

J. B. Sudharsan ◽

M. Senthilvelan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Morse Potential ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Solitons, rogue waves and breather solutions for the (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients

Optik ◽

10.1016/j.ijleo.2020.164768 ◽

2020 ◽

Vol 216 ◽

pp. 164768

Author(s):

A.A. Hamed ◽

A.H. Abdel Kader ◽

M.S. Abdel Latif

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Excitation management of (2+1)-dimensional breathers for a coupled partially nonlocal nonlinear Schrödinger equation with variable coefficients

Nonlinear Dynamics ◽

10.1007/s11071-019-04763-7 ◽

2019 ◽

Vol 95 (4) ◽

pp. 3401-3409 ◽

Cited By ~ 8

Author(s):

Hong-Yu Wu ◽

Li-Hong Jiang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Nonlocal Nonlinear Schrödinger Equation ◽

Nonlocal Nonlinear

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Integrability and dark soliton solutions for a high-order variable coefficients nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2019.01.029 ◽

2019 ◽

Vol 93 ◽

pp. 29-33 ◽

Cited By ~ 6

Author(s):

Qian-Min Huang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Dark Soliton ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

High Order ◽

Nonlinear Schrödinger ◽

Order Variable

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