Abstract
Some previous articles have consistently formulated the open states in deoxyribonucleic acid (DNA) and synthetic polynucleotide double helices as coupled sine-Gordon equations. But the solutions of the equations have not been obtained for general cases. In this paper, that is done by applying a function transformation. The method leads to a superposition relation cos[ 1 2 (ϕ+ϕ′)]=C cos[ 1 2 (ϕ−ϕ′)] , for C=const, which gives the soliton couples, the helix-kink couples and so on. Some interesting properties are treated in detail and the applications of these properties in the dynamics of real B-DNA are discussed.
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