### Abstract

Original language | English |
---|---|

Pages (from-to) | 3625-3637 |

Number of pages | 13 |

Journal | Applied Mathematics and Computation |

Volume | 219 |

Issue number | 8 |

DOIs | |

Publication status | Published - Dec 2012 |

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### Cite this

*Applied Mathematics and Computation*,

*219*(8), 3625-3637. https://doi.org/10.1016/j.amc.2012.09.057

}

*Applied Mathematics and Computation*, vol. 219, no. 8, pp. 3625-3637. https://doi.org/10.1016/j.amc.2012.09.057

**Auto-Backlund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems.** / Balakhnev, M, Yu; Demskoy, Dmitry.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Auto-Backlund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems

AU - Balakhnev, M, Yu

AU - Demskoy, Dmitry

N1 - Imported on 12 Apr 2017 - DigiTool details were: month (773h) = December, 2012; Journal title (773t) = Applied Mathematics and Computation. ISSNs: 0096-3003;

PY - 2012/12

Y1 - 2012/12

N2 - The paper is devoted to constructing Auto-Backlund transformations (ABT) and superposi-tion formulas for the solutions of the Drinfeld-Sokolov (DS) systems. The transformationsare derived from pairs of differential substitutions relating different systems of the DS type.The nonlinear superposition formulas for solutions of the DS systems are obtained from theassumption of commutativity of the Bianchi diagram. We indicate a seed solution for eachsystem which can be used to generate multi-soliton solutions. As an application of thesuperposition formulas we construct two-soliton solutions for each of the DS systems.

AB - The paper is devoted to constructing Auto-Backlund transformations (ABT) and superposi-tion formulas for the solutions of the Drinfeld-Sokolov (DS) systems. The transformationsare derived from pairs of differential substitutions relating different systems of the DS type.The nonlinear superposition formulas for solutions of the DS systems are obtained from theassumption of commutativity of the Bianchi diagram. We indicate a seed solution for eachsystem which can be used to generate multi-soliton solutions. As an application of thesuperposition formulas we construct two-soliton solutions for each of the DS systems.

U2 - 10.1016/j.amc.2012.09.057

DO - 10.1016/j.amc.2012.09.057

M3 - Article

VL - 219

SP - 3625

EP - 3637

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 8

ER -