Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials

Yiu-Chung Hon; Jian Zhang; Xu Zhou

doi:10.1016/S0898-1221(02)00150-5

Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials

Yiu-Chung Hon
, Jian Zhang
, Xu Zhou

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Citations (Scopus)

Abstract

The threshold of global existence for three-dimensional attractive nonlinear Schrödinger equations under confined potentials was derived. A radial basis function method was applied to solve the related nonlinear scalar field equation in R³. The numerical value of the threshold was computed by using a meshless computational method.

Original language	English
Pages (from-to)	317-322
Journal	Computers and Mathematics with Applications
Volume	44
Issue number	3-4
DOIs	https://doi.org/10.1016/S0898-1221(02)00150-5
Publication status	Published - Aug 2002

Research Keywords

Confined potential
Global existence
Nonlinear Schrödinger equation
Radial basis function

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@article{11cb4948474d4b75a74222c3ff8d9d32,

title = "Threshold of global existence for 3-D attractive nonlinear Schr{\"o}dinger equations under confined potentials",

abstract = "The threshold of global existence for three-dimensional attractive nonlinear Schr{\"o}dinger equations under confined potentials was derived. A radial basis function method was applied to solve the related nonlinear scalar field equation in R3. The numerical value of the threshold was computed by using a meshless computational method.",

keywords = "Confined potential, Global existence, Nonlinear Schr{\"o}dinger equation, Radial basis function",

author = "Yiu-Chung Hon and Jian Zhang and Xu Zhou",

year = "2002",

month = aug,

doi = "10.1016/S0898-1221(02)00150-5",

language = "English",

volume = "44",

pages = "317--322",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd.",

number = "3-4",

}

TY - JOUR

T1 - Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials

AU - Hon, Yiu-Chung

AU - Zhang, Jian

AU - Zhou, Xu

PY - 2002/8

Y1 - 2002/8

N2 - The threshold of global existence for three-dimensional attractive nonlinear Schrödinger equations under confined potentials was derived. A radial basis function method was applied to solve the related nonlinear scalar field equation in R3. The numerical value of the threshold was computed by using a meshless computational method.

AB - The threshold of global existence for three-dimensional attractive nonlinear Schrödinger equations under confined potentials was derived. A radial basis function method was applied to solve the related nonlinear scalar field equation in R3. The numerical value of the threshold was computed by using a meshless computational method.

KW - Confined potential

KW - Global existence

KW - Nonlinear Schrödinger equation

KW - Radial basis function

UR - https://www.scopus.com/pages/publications/0036681270

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0036681270&origin=recordpage

U2 - 10.1016/S0898-1221(02)00150-5

DO - 10.1016/S0898-1221(02)00150-5

M3 - RGC 21 - Publication in refereed journal

SN - 0898-1221

VL - 44

SP - 317

EP - 322

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3-4

ER -

Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials

Abstract

Research Keywords

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