  General high-order rogue wave solutions for the (1+1)-dimensional
Yajima-Oikawa (YO) system are derived by using Hirota's bilinear method and the
KP-hierarchy reduction technique. These rogue wave solutions are presented in
terms of determinants in which the elements are algebraic expressions. The
dynamics of first and higher-order rogue wave are investigated in details for
different values of the free parameters. It is shown that the fundamental
(first-order) rogue waves can be classified into three different patterns:
bright, intermediate and dark ones. The high-order rogue waves correspond to
the superposition of fundamental rogue waves. Especially, compared with the
nonlinear Schodinger equation, there exists an essential parameter \alpha to
control the pattern of rogue wave for both first- and high-order rogue waves
since the YO system does not possess the Galilean invariance.
