Peakon and cuspon as collective excitations in nonlinear dynamics of DNA

We have analyzed the improved Dauxoi–Peyrard–Bishop model for DNA as the simplest one for describing the appearance of nonlinear structures. These entities should be responsible somehow for the surging and disappearance of opened states that could eventually travel along the DNA strand. We have obtained new nonclassical traveling wave solutions, i.e. anti-cuspon and peakon for specific restricted parametric values of the model.

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