The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method
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 (http://dx.doi.org/10.1016/S0960-0779(01)00200-4)
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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.
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Item type: Article ID code: 79 Dates: DateEventJuly 2002PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Miss Jacqueline Miller Date deposited: 19 Dec 2005 Last modified: 08 Aug 2024 04:05 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/79
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