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Based on the Peyrard-Bishop-Dauxois (i.e.the extended Peyrard-Bishop) model of DNA dynamics,the transversal hydrogen interaction is modelled by Morse potential and the impact of the Morse parameters on the DNA dynamics is investigated.In particular,we show how modulation of the signal,moving through the DNA chain, depends on those parameters,It is also shown that the DNA dynamics represents the interplay between dispersion and nonlinearity.Finally,we discuss the values of coupling constants κ and K.