Nonlinear Localized Excitations and the Dynamics of H-Bonds in DNA

We analyze typical models which intend to describe (parts of) the dynamics of H-Bonds in DNA. We show that these models generically allow for nonlinear localized excitatons (NLEs) (discrete breathers). We especially study the scattering of phonons by NLEs and observe strong reflection of phonons by the NLE. We relate our results to the problem of functioning of a complex biomolecule, e.g. the DNA.