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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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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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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A fast forward algorithm for three-dimensional gravity gradient tensor using the compact difference schemes

IOP Conference Series Earth and Environmental Science ◽

10.1088/1755-1315/660/1/012121 ◽

2021 ◽

Vol 660 (1) ◽

pp. 012121

Author(s):

Shuanggui Hu ◽

Kejia Pan ◽

Jingtian Tang

Keyword(s):

Three Dimensional ◽

Difference Schemes ◽

Gravity Gradient ◽

Gradient Tensor ◽

Forward Algorithm ◽

Gravity Gradient Tensor ◽

Compact Difference Schemes ◽

Compact Difference ◽

Dimensional Gravity

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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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Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126055 ◽

2021 ◽

Vol 401 ◽

pp. 126055

Author(s):

Gengen Zhang

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

Fourth Order Wave Equation

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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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Simulating waves in flows by Runge-Kutta and compact difference schemes

AIAA Journal ◽

10.2514/3.12470 ◽

1995 ◽

Vol 33 (3) ◽

pp. 421-429 ◽

Author(s):

Sheng-Tao Yu ◽

Kwang-Chung Hsieh ◽

Y.-L. Peter Tsai

Keyword(s):

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference ◽

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