Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation

H. H. Dai; Xianguo Geng

doi:10.1016/j.physleta.2003.08.049

Author(s)

H. H. Dai
Xianguo Geng

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	389-400
Journal / Publication	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	317
Issue number	5-6
Publication status	Published - 27 Oct 2003

Link(s)

DOI	DOI https://doi.org/10.1016/j.physleta.2003.08.049 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-17644441347&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(2246113d-c1b5-423b-aafb-2fc604bc7e75).html

Abstract

A modified Boussinesq hierarchy associated with a 3 × 3 matrix spectral problem and its generalized Hamiltonian form are derived. A class of new finite-dimensional Hamiltonian systems are obtained with the help of the nonlinearization approach of Lax pairs. The generating function of the integrals is presented, by which the class of new finite-dimensional Hamiltonian systems are further proved to be completely integrable in the Liouville sense. As an application, solutions of the modified Boussinesq equation are decomposed into solving two compatible Hamiltonian systems of ordinary differential equations. © 2003 Elsevier B.V. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation. / Dai, H. H.; Geng, Xianguo.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 317, No. 5-6, 27.10.2003, p. 389-400.

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

Dai, HH & Geng, X 2003, 'Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 317, no. 5-6, pp. 389-400. https://doi.org/10.1016/j.physleta.2003.08.049

Dai, H. H., & Geng, X. (2003). Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation. Physics Letters, Section A: General, Atomic and Solid State Physics, 317(5-6), 389-400. https://doi.org/10.1016/j.physleta.2003.08.049

Dai HH, Geng X. Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation. Physics Letters, Section A: General, Atomic and Solid State Physics. 2003 Oct 27;317(5-6):389-400. doi: 10.1016/j.physleta.2003.08.049

Dai, H. H. ; Geng, Xianguo. / Finite-dimensional integrable systems through the decomposition of a modified Boussinesq equation. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2003 ; Vol. 317, No. 5-6. pp. 389-400.