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A novel nonlinear evolution equation integrable by the inverse scattering method

Vakhnenko, V.O. and Parkes, E.J. (2002) A novel nonlinear evolution equation integrable by the inverse scattering method. In: Proceedings of Institute of Mathematics of NAS of Ukraine. Institute of Mathematics of NAS, pp. 384-391. ISBN 966-02-2486-9

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Abstract

A Backlund transformation for an evolution equation (ut+u ux)x+u=0 transformed into new coordinates 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.

Item type: Book Section
ID code: 2036
Keywords: evolution equation, inverse scattering, Vakhnenko equation, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date Deposited: 19 Dec 2006
Last modified: 18 Jun 2015 04:45
URI: http://strathprints.strath.ac.uk/id/eprint/2036

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