Using the direct method of Clarkson and Kruskal we obtain the similarity reductions of a system of two linearly coupled Korteweg-de Vries equations, which was recently studied by Grimshaw and Malomed in relation to the existence of a new type of gap solitons. Particular solutions of this system, both rational and logarithmic, are also determined.Primjenom Clarkson–Kruskalovog postupka dobiva se sličnosno smanjenje dvaju vezanih Korteweg – de Vriesovih jednadžbi, koje su nedavno proučavali Grimshaw i Malomed. Određena su racionalna i logaritamska partikularna rješenja tog sustava
