Inthispaper,anextendedmethodisproposedforconstructingnewformsofexacttravellingwavesolutionstononlinearpartialdifferentialequationsbymakingamoregeneraltransformation.Forillustration,weapplythemethodtotheasymmetricNizhnik-Novikov-VesselovequationandthecoupledDrinfel'd-Sokolov-WilsonequationandsuccessfullycoverthepreviouslyknowntravellingwavesolutionsfoundbyChen'smethod[Y.Chen,etal.Chaos,SolitonsandFractals22(2004)675;Y.Chen,etal.Int.J.Mod.Phys.C4(2004)595].
