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

High-order Rogue Wave solutions for the Coupled Nonlinear Schr\"{o}dinger Equations-II