Existence and Stability of Solitary Waves of An M-Coupled Nonlinear Schrödinger System

Chuangye Liu; Nghiem V. Nguyen; Zhi-Qiang Wang

doi:10.4208/jms.v49n2.16.03

Existence and Stability of Solitary Waves of An M-Coupled Nonlinear Schrödinger System

Journal of Mathematical Study ◽

10.4208/jms.v49n2.16.03 ◽

2016 ◽

Vol 49 (2) ◽

pp. 132-148 ◽

Cited By ~ 2

Author(s):

Chuangye Liu ◽

Nghiem V. Nguyen ◽

Zhi-Qiang Wang

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Existence And Stability ◽

Stability Of Solitary Waves ◽

Schrödinger System

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Orbital stability of solitary waves of a 3-coupled nonlinear Schrödinger system

Nonlinear Analysis ◽

10.1016/j.na.2013.05.027 ◽

2013 ◽

Vol 90 ◽

pp. 1-26 ◽

Cited By ~ 10

Author(s):

Nghiem V. Nguyen ◽

Zhi-Qiang Wang

Keyword(s):

Solitary Waves ◽

Orbital Stability ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Stability Of Solitary Waves ◽

Schrödinger System

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Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrödinger system

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.1005 ◽

2015 ◽

Vol 36 (2) ◽

pp. 1005-1021 ◽

Cited By ~ 11

Author(s):

Nghiem Nguyen ◽

Zhi-Qiang Wang

Keyword(s):

Solitary Waves ◽

Parameter Family ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Existence And Stability ◽

Schrödinger System ◽

Two Parameter

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On the orbital stability of solitary waves for the 2-coupled nonlinear Schrödinger system

Communications in Mathematical Sciences ◽

10.4310/cms.2011.v9.n4.a3 ◽

2011 ◽

Vol 9 (4) ◽

pp. 997-1012 ◽

Cited By ~ 5

Author(s):

Nghiem V. Nguyen

Keyword(s):

Solitary Waves ◽

Orbital Stability ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Stability Of Solitary Waves ◽

Schrödinger System

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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 ◽

Cited By ~ 1

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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Existence and stability of standing waves for a coupled nonlinear schrödinger system

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60138-7 ◽

2015 ◽

Vol 35 (1) ◽

pp. 45-70 ◽

Cited By ~ 3

Author(s):

Xiaoyu ZENG ◽

Yimin ZHANG ◽

Huansong ZHOU

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Existence And Stability ◽

Schrödinger System

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Nonlinear Schrödinger equations with magnetic field effect: Existence and stability of solitary waves

Integrable Systems and Applications - Lecture Notes in Physics ◽

10.1007/bfb0035681 ◽

2006 ◽

pp. 336-342

Author(s):

Joachim Stubbe ◽

Luis Vázquez

Keyword(s):

Magnetic Field ◽

Solitary Waves ◽

Field Effect ◽

Magnetic Field Effect ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Existence And Stability ◽

Stability Of Solitary Waves

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Vector solitary waves for a class of nonlocal nonlinear Schrödinger system

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6227 ◽

2020 ◽

Author(s):

Guoqing Zhang ◽

Xuyan Zhang

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System ◽

Nonlocal Nonlinear

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Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2018.1.97 ◽

2018 ◽

pp. 1-14

Author(s):

Guoqing Zhang ◽

Tongmu Gu

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Quadratic Interaction ◽

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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