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In the present paper we study the impact of dispersion and nonlinearity onDNA dynamics. We rely on the helicoidal Peyrard-Bishop model and use the factthat nonlinear DNA dynamics represents an interplay between nonlinearity anddispersion. We state that a dispersion coefficient and a coefficient ofnonlinearity, existing in nonlinear Schr\"odinger equation, are mutuallydependent and show how function and can be obtained. Also, we show how all thiscan be used to find a possible interval for the parameter describing helicoidalstructure of DNA.

Nonlinear DNA dynamics: nonlinearity versus dispersion