Well-posedness for a quadratic derivative nonlinear Schrödinger system at the critical regularity

Journal of Functional Analysis ◽

10.1016/j.jfa.2016.05.009 ◽

2016 ◽

Vol 271 (4) ◽

pp. 747-798 ◽

Author(s):

Masahiro Ikeda ◽

Nobu Kishimoto ◽

Mamoru Okamoto

Keyword(s):

Well Posedness ◽

Nonlinear Schrödinger ◽

Critical Regularity ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Global Well-Posedness and Scattering for Mass-Critical, Defocusing, Infinite Dimensional Vector-Valued Resonant Nonlinear Schrödinger System

SIAM Journal on Mathematical Analysis ◽

10.1137/17m1131830 ◽

2018 ◽

Vol 50 (2) ◽

pp. 1593-1655 ◽

Author(s):

Kailong Yang ◽

Lifeng Zhao

Keyword(s):

Well Posedness ◽

Dimensional Vector ◽

Infinite Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Vector Valued ◽

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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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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Abundant soliton solutions of general nonlocal nonlinear Schrödinger system with external field

Journal of the Optical Society of America A ◽

10.1364/josaa.31.000188 ◽

2013 ◽

Vol 31 (1) ◽

pp. 188 ◽

Author(s):

Ji Lin ◽

Wei-wei Chen ◽

Jian Jia

Keyword(s):

External Field ◽

Soliton Solutions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System ◽

Nonlocal Nonlinear

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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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