Exact travelling wave periodic solutions of a pair of coupled nonlinear Sch
rodinger equations are obtained in terms of the Weierstrass elliptic g-func
tion. These solutions which are of one and the same functional form describ
e, in particular, two novel classes of bounded periodic and solitary wave s
olutions of considerable physical interest, while previously known bounded
periodic and solitary wave solutions turn out to be just special cases of t
hem. (C) 1999 Elsevier Science B.V. All rights reserved.