Finite time blowup for a supercritical defocusing
nonlinear Schrödinger system

Terence Tao

doi:10.2140/apde.2018.11.383

Finite time blowup for a supercritical defocusing nonlinear Schrödinger system

Analysis & PDE ◽

10.2140/apde.2018.11.383 ◽

2018 ◽

Vol 11 (2) ◽

pp. 383-438

Author(s):

Terence Tao

Keyword(s):

Finite Time ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger System ◽

Finite Time Blowup ◽

Time Blowup ◽

Schrödinger System

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Finite time blowup for Klein‐Gordon‐Schrödinger system

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5621 ◽

2019 ◽

Vol 42 (11) ◽

pp. 3929-3941 ◽

Cited By ~ 1

Author(s):

Qihong Shi ◽

Xiao‐Bing Zhang ◽

Changyou Wang ◽

Shu Wang

Keyword(s):

Finite Time ◽

Finite Time Blowup ◽

Klein Gordon ◽

Time Blowup ◽

Schrödinger System

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Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2018.12.003 ◽

2019 ◽

Vol 125 ◽

pp. 283-320

Author(s):

Younghun Hong ◽

Soonsik Kwon ◽

Haewon Yoon

Keyword(s):

Global Existence ◽

Finite Time ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Finite Time Blowup ◽

Nonlinear Schrodinger Equations ◽

Time Blowup

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Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance

Journal of Mathematical Physics ◽

10.1063/1.4960725 ◽

2016 ◽

Vol 57 (8) ◽

pp. 082103 ◽

Cited By ~ 6

Author(s):

Kazumasa Fujiwara ◽

Tohru Ozawa

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Gauge Invariance ◽

Finite Time ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Blowup Of Solutions ◽

Finite Time Blowup ◽

Time Blowup

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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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Finite-time blowup in attraction–repulsion systems with nonlinear signal production

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103305 ◽

2021 ◽

Vol 61 ◽

pp. 103305

Author(s):

Meng Liu ◽

Yuxiang Li

Keyword(s):

Finite Time ◽

Finite Time Blowup ◽

Signal Production ◽

Nonlinear Signal ◽

Nonlinear Signal Production ◽

Time Blowup

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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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Finite-time blowup and existence of global positive solutions of a semi-linear SPDE

Stochastic Processes and their Applications ◽

10.1016/j.spa.2009.12.003 ◽

2010 ◽

Vol 120 (6) ◽

pp. 767-776 ◽

Cited By ~ 16

Author(s):

Marco Dozzi ◽

José Alfredo López-Mimbela

Keyword(s):

Positive Solutions ◽

Finite Time ◽

Finite Time Blowup ◽

Time Blowup

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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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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 ◽

Cited By ~ 3

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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