New conservative difference schemes for a coupled nonlinear Schrödinger system

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.07.040 ◽

2010 ◽

Vol 217 (4) ◽

pp. 1604-1619 ◽

Author(s):

Tingchun Wang ◽

Boling Guo ◽

Luming Zhang

Keyword(s):

Difference Schemes ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Conservative Difference Schemes ◽

Conservative Difference ◽

Schrödinger System

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Conservative compact difference schemes for the coupled nonlinear schrödinger system

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21826 ◽

2013 ◽

Vol 30 (3) ◽

pp. 749-772 ◽

Author(s):

Xiuling Hu ◽

Luming Zhang

Keyword(s):

Difference Schemes ◽

Nonlinear Schrödinger ◽

Compact Difference Schemes ◽

Compact Difference ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2013.03.007 ◽

2013 ◽

Vol 243 ◽

pp. 382-399 ◽

Author(s):

Tingchun Wang ◽

Boling Guo ◽

Qiubin Xu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensions ◽

Difference Schemes ◽

Nonlinear Schrödinger ◽

Conservative Difference Schemes ◽

Conservative Difference

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Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2021.2012568 ◽

2021 ◽

pp. 1-29

Author(s):

Mustafa Almushaira

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

High Accuracy ◽

Nonlinear Schrodinger Equation ◽

Difference Schemes ◽

Nonlinear Schrödinger ◽

Conservative Difference Schemes ◽

Conservative Difference

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Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients

Mathematische Nachrichten ◽

10.1002/mana.202000121 ◽

2021 ◽

Author(s):

Xiaoming An ◽

Chunhua Wang

Keyword(s):

Coupling Coefficients ◽

Nonlinear Schrödinger ◽

Small Coupling ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Numerical study of bright-bright-dark soliton dynamics in the mixed coupled nonlinear Schrödinger system

Optik ◽

10.1016/j.ijleo.2020.165633 ◽

2020 ◽

Vol 224 ◽

pp. 165633

Author(s):

M.S. Ismail ◽

T. Kanna

Keyword(s):

Numerical Study ◽

Dark Soliton ◽

Nonlinear Schrödinger ◽

Soliton Dynamics ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Weak concentration and wave operator for a 3D coupled nonlinear Schrödinger system

Journal of Mathematical Physics ◽

10.1063/1.4908555 ◽

2015 ◽

Vol 56 (2) ◽

pp. 021507 ◽

Author(s):

Ademir Pastor

Keyword(s):

Wave Operator ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System ◽

Weak Concentration

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Orbital stability of spatially synchronized solitary waves of an m-coupled nonlinear Schrödinger system

Journal of Mathematical Physics ◽

10.1063/1.4964255 ◽

2016 ◽

Vol 57 (10) ◽

pp. 101501 ◽

Author(s):

Chuangye Liu ◽

Nghiem V. Nguyen ◽

Zhi-Qiang Wang

Keyword(s):

Solitary Waves ◽

Orbital Stability ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Soliton interactions for a generalized variable-coefficient coupled higher-order nonlinear Schrödinger system in an inhomogeneous optical fiber

Laser Physics ◽

10.1088/1555-6611/aa6be7 ◽

2017 ◽

Vol 27 (7) ◽

pp. 075402 ◽

Author(s):

Lei Liu ◽

Bo Tian ◽

Jun Chai ◽

Han-Peng Chai

Keyword(s):

Optical Fiber ◽

Variable Coefficient ◽

Higher Order ◽

Soliton Interactions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Darboux transformation and vector solitons for a variable-coefficient coherently coupled nonlinear Schrödinger system in nonlinear optics

Optical Engineering ◽

10.1117/1.oe.55.11.116113 ◽

2016 ◽

Vol 55 (11) ◽

pp. 116113 ◽

Author(s):

Jun Chai ◽

Bo Tian ◽

Han-Peng Chai

Keyword(s):

Nonlinear Optics ◽

Darboux Transformation ◽

Variable Coefficient ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Integrability of anN-coupled nonlinear Schrödinger system for polarized optical waves in an isotropic medium via symbolic computation

Physical Review E ◽

10.1103/physreve.77.026605 ◽

2008 ◽

Vol 77 (2) ◽

Author(s):

Hai-Qiang Zhang ◽

Tao Xu ◽

Juan Li ◽

Bo Tian

Keyword(s):

Symbolic Computation ◽

Isotropic Medium ◽

Optical Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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