Dark solitons and Bäcklund transformation for the (2+1)-dimensional coupled nonlinear Schrödinger equation with the variable coefficients in a graded-index waveguide

Superlattices and Microstructures ◽

10.1016/j.spmi.2016.11.019 ◽

2017 ◽

Vol 101 ◽

pp. 117-126 ◽

Author(s):

Xiao-Yu Wu ◽

Bo Tian ◽

Xi-Yang Xie ◽

Jun Chai

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Graded Index ◽

Dark Solitons ◽

Coupled Nonlinear Schrödinger Equation

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Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105626 ◽

2021 ◽

Vol 95 ◽

pp. 105626

Author(s):

Yunqing Yang ◽

Takashi Suzuki ◽

Jianyong Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Wave ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Coupled Nonlinear Schrödinger Equation ◽

Wave Solutions ◽

Nonlinear Wave Solutions

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Symbolic computation on Bäcklund transformation and soliton solutions for a generalized nonlinear Schrödinger equation in inhomogeneous fibers

Physica Scripta ◽

10.1088/0031-8949/87/04/045014 ◽

2013 ◽

Vol 87 (4) ◽

pp. 045014

Author(s):

Pan Wang ◽

Bo Tian ◽

Yan Jiang ◽

Ming Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Symbolic Computation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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Higher Conservation Laws for the Nonlinear Schrodinger Equation through Backlund Transformation

Progress of Theoretical Physics ◽

10.1143/ptp.53.585 ◽

1975 ◽

Vol 53 (2) ◽

pp. 585-586 ◽

Author(s):

J. Satsuma

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger

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Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4976514 ◽

2017 ◽

Vol 27 (2) ◽

pp. 023113 ◽

Author(s):

N. M. Musammil ◽

K. Porsezian ◽

P. A. Subha ◽

K. Nithyanandan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Variable Coefficient ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Tunneling Effect ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Coupled Nonlinear Schrödinger Equation

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N-soliton solutions, Bäcklund transformation and Conservation laws for the integro-differential nonlinear Schrödinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain

Журнал вычислительной математики и математической физики ◽

10.7868/s0044466914040127 ◽

2014 ◽

Vol 54 (4) ◽

pp. 720-720

Author(s):

P. Wang ◽

B. Tian ◽

W.-J. Liu ◽

K. Sun

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Heisenberg Spin ◽

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Symbolic computation, Bäcklund transformation and analytic N-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.02.040 ◽

2009 ◽

Vol 356 (1) ◽

pp. 193-200 ◽

Author(s):

Hong-Wu Zhu ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Zhen-Zhi Yao ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Symbolic Computation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger ◽

Laboratory Plasmas

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Bäcklund Transformation and N-Soliton Solution for the Generalized Nonlinear Schrödinger Equation

Annalen der Physik ◽

10.1002/andp.19874990404 ◽

1987 ◽

Vol 499 (4) ◽

pp. 261-264 ◽

Author(s):

H. Eichhorn

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger ◽

Generalized Nonlinear Schrödinger Equation

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N-fold Backlund transformation for deformed nonlinear Schrödinger equation

International Journal of Theoretical Physics ◽

10.1007/bf02435799 ◽

1997 ◽

Vol 36 (4) ◽

pp. 1021-1031

Author(s):

A. Roy Chowdhury ◽

Swapan Kr. Pal

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Backlund Transformation ◽

Nonlinear Schrödinger

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A relation connecting scale transformation, Galilean transformation and Bäcklund transformation for the nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(80)90022-6 ◽

1980 ◽

Vol 1 (4) ◽

pp. 420-421 ◽

Author(s):

H. Steudel

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Bäcklund Transformation ◽

Nonlinear Schrodinger Equation ◽

Scale Transformation ◽

Galilean Transformation ◽

Backlund Transformation ◽

Nonlinear Schrödinger

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New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.02.023 ◽

2014 ◽

Vol 233 ◽

pp. 351-358 ◽

Author(s):

Fajun Yu ◽

Zhenya Yan

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Rogue Waves ◽

Variable Coefficients ◽

Nonlinear Schrodinger Equation ◽

Bright Soliton ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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