A high order energy preserving scheme for the strongly coupled nonlinear Schrödinger system

Chinese Physics B ◽

10.1088/1674-1056/23/5/050202 ◽

2014 ◽

Vol 23 (5) ◽

pp. 050202 ◽

Author(s):

Chao-Long Jiang ◽

Jian-Qiang Sun

Keyword(s):

Strongly Coupled ◽

Nonlinear Schrödinger ◽

Order Energy ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Decoupled conservative schemes for computing dynamics of the strongly coupled nonlinear Schrödinger system

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.06.008 ◽

2020 ◽

Vol 157 ◽

pp. 276-290

Author(s):

Zhu He ◽

Jiaxiang Cai ◽

Bangyu Shen

Keyword(s):

Strongly Coupled ◽

Nonlinear Schrödinger ◽

Conservative Schemes ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Bound State for a Strongly Coupled Nonlinear Schrödinger System with Saturation

Milan Journal of Mathematics ◽

10.1007/s00032-019-00307-1 ◽

2019 ◽

Vol 88 (1) ◽

pp. 35-63

Author(s):

Liliane A. Maia ◽

Ricardo Ruviaro ◽

Elson L. Moura

Keyword(s):

Bound State ◽

Strongly Coupled ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers

Chinese Physics B ◽

10.1088/1674-1056/ac2d22 ◽

2021 ◽

Author(s):

Tian-Yi Wang ◽

Qin Zhou ◽

Wen-Jun Liu

Keyword(s):

Fiber Lasers ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

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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Linear High-Order Energy-Preserving Schemes for the Nonlinear Schrödinger Equation with Wave Operator Using the Scalar Auxiliary Variable Approach

Journal of Scientific Computing ◽

10.1007/s10915-021-01533-9 ◽

2021 ◽

Vol 88 (1) ◽

Author(s):

Xin Li ◽

Yuezheng Gong ◽

Luming Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Auxiliary Variable ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Order Energy ◽

Variable Approach

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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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