Fan-even K-quantum nonlinear coherent states are introduced and higher-orde
r amplitude squeezing is investigated in such states. It is shown that for
a given K the lowest order in which an amplitude component can be squeezed
is 2K and the squeezing appears simultaneously in K directions separated su
ccessively in phase by pi /K. (C) 2001 Published by Elsevier Science B.V.