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. 384391. ISBN 9660224869

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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 Nsoliton 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:  21 Jul 2015 15:46 
URI:  http://strathprints.strath.ac.uk/id/eprint/2036 
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