%0 Journal Article %T Modulational Instabilities and Domain Walls in Coupled Discrete Nonlinear Schr£żdinger Equations %A Z. Rapti %A A. Trombettoni %A P. G. Kevrekidis %A D. J. Frantzeskakis %A Boris A. Malomed %A A. R. Bishop %J Physics %D 2004 %I arXiv %R 10.1016/j.physleta.2004.07.052 %X We consider a system of two discrete nonlinear Schr\"{o}dinger equations, coupled by nonlinear and linear terms. For various physically relevant cases, we derive a modulational instability criterion for plane-wave solutions. We also find and examine domain-wall solutions in the model with the linear coupling. %U http://arxiv.org/abs/cond-mat/0409009v1