### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Biophysics

### Cite this

*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.

Research output: Contribution to journal › Article

*Biophysics*, vol. 50, no. 3, pp. 404-409.

}

TY - JOUR

T1 - One- and two-soliton solutions of the sine-Gordon equation as applied to DNA

AU - Yakushevich, L. V.

AU - Krasnobaeva, L. A.

AU - Shapovalov, A. V.

AU - Quintero, N. R.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - DNA dynamics

KW - L-A pair

KW - Modeling

KW - Sine-Gordon equation

KW - Solitons

UR - http://www.scopus.com/inward/record.url?scp=33750513584&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750513584&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33750513584

VL - 50

SP - 404

EP - 409

JO - Biophysics (Russian Federation)

JF - Biophysics (Russian Federation)

SN - 0006-3509

IS - 3

ER -