One- and two-soliton solutions of a nonlinear differential equation that describes rotational vibrations of DNA bases are found. It was shown that such an equation is equivalent to the simple sine-Gordon equation solvable by the inverse problem method using the L-A pair. The one- and two-soliton solutions found by this method were represented in terms of DNA parameters. The profiles of nonlinear one-soliton waves were calculated for two cases: for a uniform double polynucleotidc chain consisting of A-T pairs and for a uniform double polynucleotide chain consisting of G-C pairs.
|Состояние||Опубликовано - 2005|
|Опубликовано для внешнего пользования||Да|
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