One- and two-soliton solutions of the sine-Gordon equation as applied to DNA

L. V. Yakushevich, L. A. Krasnobaeva, A. V. Shapovalov, N. R. Quintero

Результат исследований: Материалы для журналаСтатья

18 Цитирования (Scopus)

Аннотация

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.

Язык оригиналаАнглийский
Страницы (с-по)404-409
Число страниц6
ЖурналBiophysics
Том50
Номер выпуска3
СостояниеОпубликовано - 2005
Опубликовано для внешнего пользованияДа

ASJC Scopus subject areas

  • Biophysics

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  • Цитировать

    Yakushevich, L. V., Krasnobaeva, L. A., Shapovalov, A. V., & Quintero, N. R. (2005). One- and two-soliton solutions of the sine-Gordon equation as applied to DNA. Biophysics, 50(3), 404-409.