AgeneralsolutionoftheBoussinesqequationispresentedwhichsolvestheproblemofinteractionofanynumberofright-goingandleft-goingsolitarywaves.Thesolutionreliesontheexactsolu-tionofGardner,Greene,Kruskal,andMiura(1967),andhasthesamedegreeofaccuracyasthatsolution,buthasawiderscopeofapplication.Itismuchsimplerthan,butasaccurateas,Hirota’sexactsolu-tion(1973)oftheBoussinesqequation,towhichthepresentsolutioniscomparedforthesimplestcaseoftwosolitarywavesinhead-oncollision.