Conference publications

Variety of nonlinear wave solutions in sine-Gordon model of DNA

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

Russia, Pushchino, Tomsk; Spain, Sevilla

"Математика. Компьютер. Образование". Cб. трудов XIII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2006. Vol. 2, 498pp. Pp. 384-392.

In this work all kinds of two-soliton solutions of the nonlinear sine–Gordon equation, which imitates rotational vibrations of DNA bases are presented. Energy, mass, impulse and the size of the conformational distortions corresponding to these solutions, were calculated for different kinds homogeneous polynucleotide chains. Frequencies and periods were also calculated for two-soliton solutions having the form of breather.

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