### 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 language | English |
---|---|

Pages (from-to) | 404-409 |

Number of pages | 6 |

Journal | Biophysics |

Volume | 50 |

Issue number | 3 |

Publication status | Published - 2005 |

Externally published | Yes |

### Keywords

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

### ASJC Scopus subject areas

- Biophysics

## Fingerprint Dive into the research topics of 'One- and two-soliton solutions of the sine-Gordon equation as applied to DNA'. Together they form a unique fingerprint.

## 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.