Global solution and blow-up of the stochastic nonlinear Schrödinger system

Qi Zhang; Jinqiao Duan; Yong Chen

doi:10.1063/1.5141338

Global solution and blow-up of the stochastic nonlinear Schrödinger system

Journal of Mathematical Physics ◽

10.1063/1.5141338 ◽

2020 ◽

Vol 61 (6) ◽

pp. 061504

Author(s):

Qi Zhang ◽

Jinqiao Duan ◽

Yong Chen

Keyword(s):

Global Solution ◽

Blow Up ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system

Journal of Mathematical Physics ◽

10.1063/1.2939238 ◽

2008 ◽

Vol 49 (6) ◽

pp. 062103 ◽

Cited By ~ 33

Author(s):

Li Ma ◽

Lin Zhao

Keyword(s):

Global Existence ◽

Blow Up ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System ◽

Sharp Thresholds

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Blow-up of the radially symmetric solutions for the quadratic nonlinear Schrödinger system without mass-resonance

Nonlinear Analysis ◽

10.1016/j.na.2020.111895 ◽

2020 ◽

Vol 198 ◽

pp. 111895

Author(s):

Takahisa Inui ◽

Nobu Kishimoto ◽

Kuranosuke Nishimura

Keyword(s):

Blow Up ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Radially Symmetric Solutions ◽

Schrödinger System

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Blow-up Theory for the Coupled L 2-Critical Nonlinear Schrödinger System in the Plane

Milan Journal of Mathematics ◽

10.1007/s00032-010-0131-6 ◽

2010 ◽

Vol 78 (2) ◽

pp. 591-601 ◽

Cited By ~ 3

Author(s):

Li Ma ◽

B.-W. Schulze

Keyword(s):

Blow Up ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Blow-up behavior of ground states for a nonlinear Schrödinger system with attractive and repulsive interactions

Journal of Differential Equations ◽

10.1016/j.jde.2017.09.039 ◽

2018 ◽

Vol 264 (2) ◽

pp. 1411-1441 ◽

Cited By ~ 5

Author(s):

Yujin Guo ◽

Xiaoyu Zeng ◽

Huan-Song Zhou

Keyword(s):

Blow Up ◽

Ground States ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Repulsive Interactions ◽

Schrödinger System

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Blow-up solutions to nonlinear Schrödinger system at multiple points

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-1065-z ◽

2018 ◽

Vol 70 (1) ◽

Cited By ~ 1

Author(s):

Yiming Su ◽

Qing Guo

Keyword(s):

Blow Up ◽

Multiple Points ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Uniqueness of minimal blow-up solutions to nonlinear Schrödinger system

Nonlinear Analysis ◽

10.1016/j.na.2017.01.021 ◽

2017 ◽

Vol 155 ◽

pp. 186-197 ◽

Cited By ~ 1

Author(s):

Yiming Su

Keyword(s):

Blow Up ◽

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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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 ◽

Cited By ~ 4

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 ◽

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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