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

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)404-409
Number of pages6
JournalBiophysics
Volume50
Issue number3
Publication statusPublished - 2005
Externally publishedYes

Fingerprint

Polynucleotides
DNA
Vibration

Keywords

  • DNA dynamics
  • L-A pair
  • Modeling
  • Sine-Gordon equation
  • Solitons

ASJC Scopus subject areas

  • Biophysics

Cite this

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.

One- and two-soliton solutions of the sine-Gordon equation as applied to DNA. / Yakushevich, L. V.; Krasnobaeva, L. A.; Shapovalov, A. V.; Quintero, N. R.

In: Biophysics, Vol. 50, No. 3, 2005, p. 404-409.

Research output: Contribution to journalArticle

Yakushevich, LV, Krasnobaeva, LA, Shapovalov, AV & Quintero, NR 2005, 'One- and two-soliton solutions of the sine-Gordon equation as applied to DNA', Biophysics, vol. 50, no. 3, pp. 404-409.
Yakushevich LV, Krasnobaeva LA, Shapovalov AV, Quintero NR. One- and two-soliton solutions of the sine-Gordon equation as applied to DNA. Biophysics. 2005;50(3):404-409.
Yakushevich, L. V. ; Krasnobaeva, L. A. ; Shapovalov, A. V. ; Quintero, N. R. / One- and two-soliton solutions of the sine-Gordon equation as applied to DNA. In: Biophysics. 2005 ; Vol. 50, No. 3. pp. 404-409.
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