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Solitary-wave excitation of hydrogen-bond stretching in deoxyribonucleic acid

A model of solitary-wave excitation for B-DNA has been proposed by taking into account the stretching of the hydrogen bonds. Using the continuum approximation the author has derived a nonlinear Klein-Gordon equation which has the solitary-wave solution. The stretch amplitude of the solitary wave is found to be 0.37 AA. The energy and width of the solitary wave are also estimated. It is shown by a linear stability analysis that the solitary wave is unstable. The numerical simulation of the nonlinear differential-difference equation (i.e. the equation without using the continuum approximation) shows that the solitary wave is pinned by the lattice. An unstable pinned solitary wave is used to explain the opening mechanism of the bases in a DNA chain.