Abstract
We study the propagation of localized excitations in a DNA molecule which takes into account helicity and solvent interaction. The small amplitude dynamics of the model is described by envelope solutions made of breathers. Our solutions drastically depends on the twist angle and solvent interaction. It is found that increasing the twist angle decreases the width of the pulse which can be used for the transportation of energy. Increase the solvent interaction term, increases the width of the pulses while the number of waves train decreases with time. The stability of the solutions has been checked through numerical simulations.
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