TheCaudrey-Dodd-Gibbon-Kotera-Sawada(CDGKS)equationhasattractedmanyphysicistsandmathematicians.Inthispaper,basedontheideaofvariable-coefficientbalancing-actmethodandthecomputerizedsymboliccomputation,someexactanalyticsolutionsfortheCDGKSequationhavebeenobtained.