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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Overview

2 Scopus Citations

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Author(s)

Yiu-Chung Hon
Jian Zhang
Xu Zhou

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	317-322
Journal / Publication	Computers and Mathematics with Applications
Volume	44
Issue number	3-4
Publication status	Published - Aug 2002

Link(s)

DOI	DOI https://doi.org/10.1016/S0898-1221(02)00150-5 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0036681270&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(11cb4948-474d-4b75-a742-22c3ff8d9d32).html

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.

Research Area(s)

Confined potential, Global existence, Nonlinear Schrödinger equation, Radial basis function

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Citation Format(s)

[ RIS ] [ BibTeX ]

Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. / Hon, Yiu-Chung; Zhang, Jian; Zhou, Xu.
In: Computers and Mathematics with Applications, Vol. 44, No. 3-4, 08.2002, p. 317-322.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Hon, Y-C, Zhang, J & Zhou, X 2002, 'Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials', Computers and Mathematics with Applications, vol. 44, no. 3-4, pp. 317-322. https://doi.org/10.1016/S0898-1221(02)00150-5

Hon, Y-C., Zhang, J., & Zhou, X. (2002). Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. Computers and Mathematics with Applications, 44(3-4), 317-322. https://doi.org/10.1016/S0898-1221(02)00150-5

Hon Y-C, Zhang J, Zhou X. Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. Computers and Mathematics with Applications. 2002 Aug;44(3-4):317-322. doi: 10.1016/S0898-1221(02)00150-5

Hon, Yiu-Chung ; Zhang, Jian ; Zhou, Xu. / Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. In: Computers and Mathematics with Applications. 2002 ; Vol. 44, No. 3-4. pp. 317-322.