Vakhnenko, V.O. and Parkes, E.J. (2002) *The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.* Chaos, Solitons and Fractals, 13 (9). pp. 1819-1826. ISSN 0960-0779

Official URL: http://dx.doi.org/10.1016/S0960-0779(01)00200-4

## Abstract

A Bäcklund transformation both in bilinear form and in ordinary form for the transformed Vakhnenko equation is derived. An inverse scattering problem is formulated. The inverse scattering method has a third-order eigenvalue problem. A procedure for finding the exact N-soliton solution of the Vakhnenko equation via the inverse scattering method is described. The procedure is illustrated by considering the cases N=1 and N=2.

Item type: | Article |
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ID code: | 79 |

Keywords: | multi-soliton solutions, Vakhnenko equation, inverse scattering, numerical analysis, Mathematics |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Miss Jacqueline Miller |

Date Deposited: | 19 Dec 2005 |

Last modified: | 12 Mar 2012 10:35 |

URI: | http://strathprints.strath.ac.uk/id/eprint/79 |

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