Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations

X. G. Geng; H. H. Dai

doi:10.1006/jmaa.1998.6212

Author(s)

X. G. Geng
H. H. Dai

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	26-55
Journal / Publication	Journal of Mathematical Analysis and Applications
Volume	233
Issue number	1
Publication status	Published - 1 May 1999

Link(s)

DOI	DOI https://doi.org/10.1006/jmaa.1998.6212 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0002367686&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(67445a41-f97c-4dd9-b88b-d7f99c1161c8).html

Abstract

The nonlinearization method is extended to the investigation of coupled nonlinear Schrödinger equations associated with a 3×3 matrix eigenvalue problem, from which a new finite-dimensional Hamiltonian system is obtained by nonlinearization of the eigenvalue problem and its adjoint one. A scheme for generating involutive systems of conserved integrals is proposed, by which the finite-dimensional Hamiltonian system is further proved to be completely integrable in the Liouville sense. © 1999 Academic Press.

Citation Format(s)

[ RIS ] [ BibTeX ]

Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations. / Geng, X. G.; Dai, H. H.

In: Journal of Mathematical Analysis and Applications, Vol. 233, No. 1, 01.05.1999, p. 26-55.

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

Geng, XG & Dai, HH 1999, 'Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations', Journal of Mathematical Analysis and Applications, vol. 233, no. 1, pp. 26-55. https://doi.org/10.1006/jmaa.1998.6212

Geng, X. G., & Dai, H. H. (1999). Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations. Journal of Mathematical Analysis and Applications, 233(1), 26-55. https://doi.org/10.1006/jmaa.1998.6212

Geng XG, Dai HH. Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations. Journal of Mathematical Analysis and Applications. 1999 May 1;233(1):26-55. https://doi.org/10.1006/jmaa.1998.6212

Geng, X. G. ; Dai, H. H. / Nonlinearization of the 3 × 3 Matrix Eigenvalue Problem Related to Coupled Nonlinear Schrödinger Equations. In: Journal of Mathematical Analysis and Applications. 1999 ; Vol. 233, No. 1. pp. 26-55.