New finite-dimensional completely integrable systems associated with the sine-Gordon equation

Authors
Dai, HH Geng, XG
Citation
Hh. Dai et Xg. Geng, New finite-dimensional completely integrable systems associated with the sine-Gordon equation, J PHYS JPN, 68(9), 1999, pp. 2878-2881
Citations number
9
Categorie Soggetti
Physics
Journal title
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN journal
00319015 → ACNP
Volume
68
Issue
9
Year of publication
1999
Pages
2878 - 2881
Database
ISI
SICI code
0031-9015(199909)68:9<2878:NFCISA>2.0.ZU;2-C
Abstract
The nonlinearization method of the Lax pair is developed and applied to the sine-Gordon equation, from which two new finite-dimensional completely int egrable systems in the Liouville sense and some explicit solutions of this equation are obtained.