  We study on dynamics of high-order rogue wave in two-component coupled
nonlinear Schr\"{o}dinger equations. Based on the generalized Darboux
transformation and formal series method, we obtain the high-order rogue wave
solution without the special limitation on the wave vectors. As an application,
we exhibit the first, second-order rogue wave solution and the superposition of
them by computer plotting. We find the distribution patterns for vector rogue
waves are much more abundant than the ones for scalar rogue waves, and also
different from the ones obtained with the constrain conditions on background
fields. The results further enrich and deep our realization on rogue wave
excitation dynamics in such diverse fields as Bose-Einstein condensates,
nonlinear fibers, and superfluids.
