Solitary excitations in deoxyribonuclei acid (DNA) double helices

Dynamical features of solitary excitations in deoxyribonuclei acid (DNA) double helices are described by a revised theory in which the H-bonding energy between complementary base pairs has a more reasonable form. Four modes of sine-Gordon solitons which predict the existence of the open states in DNA double helices are found. By using the statistical-mechanical formalism which has been established previously, the average soliton number density in DNA double helices is estimated as a function of temperature and compared with the experimental results.