K. Kiso et al., HIERARCHIES OF EVOLUTION-EQUATIONS ASSOCIATED WITH CERTAIN SYMMETRICAL SPACES, Journal of mathematical physics, 38(10), 1997, pp. 5183-5189
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
.