An integrable semi-discretization of the coupled Yajima–Oikawa system

Abstract

An integrable semi-discrete analogue of the one-dimensional coupled Yajima–Oikawa system, which is comprised of multicomponent short waves and one component long wave, is proposed by using a bilinear technique. Based on the reductions of the Bäcklund transformations of the semi-discrete BKP hierarchy, both the bright and dark soliton solutions in terms of pfaffians are constructed.