A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation

M.S. Ismail; Thiab R. Taha

doi:10.1016/j.matcom.2006.10.020

A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2006.10.020 ◽

2007 ◽

Vol 74 (4-5) ◽

pp. 302-311 ◽

Cited By ~ 50

Author(s):

M.S. Ismail ◽

Thiab R. Taha

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Conservative Scheme ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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A Coupled Nonlinear Schrödinger Equation and Optical Solitons

Journal of the Physical Society of Japan ◽

10.1143/jpsj.61.2241 ◽

1992 ◽

Vol 61 (7) ◽

pp. 2241-2245 ◽

Cited By ~ 63

Author(s):

Miki Wadati ◽

Takeshi Iizuka ◽

Masato Hisakado

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Optical Solitons ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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A Fast Conservative Scheme for the Space Fractional Nonlinear Schrödinger Equation with Wave Operator

Journal of Mathematical Study ◽

10.4208/jms.v54n4.21.06 ◽

2021 ◽

Vol 54 (4) ◽

pp. 407-426

Author(s):

MustafaAlmushaira & FeiLiu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Conservative Scheme ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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Soliton solutions, soliton-type solutions and rational solutions for the coupled nonlinear Schrödinger equation in magneto-optic waveguides

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01113-8 ◽

2021 ◽

Vol 136 (2) ◽

Author(s):

Muhammad Bilal Riaz ◽

Abdon Atangana ◽

Adil Jhangeer ◽

Sana Tahir

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Rational Solutions ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation ◽

Magneto Optic

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Characteristics of Rogue Waves on a Soliton Background in the General Coupled Nonlinear Schrödinger Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/71/2/152 ◽

2019 ◽

Vol 71 (2) ◽

pp. 152 ◽

Cited By ~ 7

Author(s):

Xiu-Bin Wang ◽

Bo Han

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Scalar and vector crossed breather-pair and their controlling excitations of a coupled nonlinear Schrödinger equation with partially nonlocal property in an external potential

Optik ◽

10.1016/j.ijleo.2020.165963 ◽

2021 ◽

Vol 226 ◽

pp. 165963

Author(s):

Jing Yang ◽

Yu Zhu ◽

Wei Qin ◽

Shaohui Wang ◽

Jitao Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

External Potential ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Optical solitons and modulation instability analysis of the (1 + 1)-dimensional coupled nonlinear Schrödinger equation

Communications in Theoretical Physics ◽

10.1088/1572-9494/ab617e ◽

2020 ◽

Vol 72 (2) ◽

pp. 025003 ◽

Cited By ~ 3

Author(s):

Tukur Abdulkadir Sulaiman ◽

Hasan Bulut

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulation Instability ◽

Optical Solitons ◽

Nonlinear Schrodinger Equation ◽

Instability Analysis ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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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 ◽

Cited By ~ 4

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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Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation

Computer Physics Communications ◽

10.1016/j.cpc.2010.03.009 ◽

2010 ◽

Vol 181 (7) ◽

pp. 1231-1241 ◽

Cited By ~ 31

Author(s):

Yaming Chen ◽

Huajun Zhu ◽

Songhe Song

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Splitting Method ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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Manipulation of light in a generalized coupled Nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.01.021 ◽

2016 ◽

Vol 37 ◽

pp. 354-361 ◽

Cited By ~ 9

Author(s):

R. Radha ◽

P.S. Vinayagam ◽

K. Porsezian

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Coupled Nonlinear Schrödinger Equation

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A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1016924 ◽

2015 ◽

Vol 93 (7) ◽

pp. 1103-1118 ◽

Cited By ~ 16

Author(s):

Maohua Ran ◽

Chengjian Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Conservative Scheme ◽

Nonlinear Schrödinger ◽

Fractional Nonlinear Schrödinger Equation

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