FIZIKA B 5 (1996) 1, 1-15
SIMILARITY REDUCTIONS OF A LINEARLY COUPLED
KORTEWEG-de VRIES SYSTEM
JORGE FUJIOKA and AUREA ESPINOSA
Instituto de Física, UNAM, Apdo. Postal 20-364, México D.F. 01000
Received 22 September 1995
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.