Symmetrically coupled nonlinear Schrodinger (CNLS), coupled Korteweg-d
e Vries(CKdV), and coupled bound-continuum-bound (CBCB) equations are
shown to have solitary-wave solutions that are generally expressible i
n terms of a superposition of two solitary waves of different forms. C
ontrol of wave propagation with different superpositions, and extendin
g the superposition solutions to other nonlinearly coupled equations,
are two possible useful applications. (C) 1997 Elsevier Science B.V.