HIERARCHIES OF EVOLUTION-EQUATIONS ASSOCIATED WITH CERTAIN SYMMETRICAL SPACES

Citation
K. Kiso et al., HIERARCHIES OF EVOLUTION-EQUATIONS ASSOCIATED WITH CERTAIN SYMMETRICAL SPACES, Journal of mathematical physics, 38(10), 1997, pp. 5183-5189
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
38
Issue
10
Year of publication
1997
Pages
5183 - 5189
Database
ISI
SICI code
0022-2488(1997)38:10<5183:HOEAWC>2.0.ZU;2-Q
Abstract
Hierarchies of evolution equations associated with certain symmetric s paces are presented. Main examples of such symmetric spaces are Hermit ian symmetric spaces and the obtained evolution equations include gene ralized nonlinear Schrodinger equations. Those results are obtained by extending the Lie algebra in the Ablowitz-Kaup-Newell-Segur scheme fr om sl(2,C) to more general one. (C) 1997 American Institute of Physics .