Picture of automobile manufacturing plant

Driving innovations in manufacturing: Open Access research from DMEM

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Design, Manufacture & Engineering Management (DMEM).

Centred on the vision of 'Delivering Total Engineering', DMEM is a centre for excellence in the processes, systems and technologies needed to support and enable engineering from concept to remanufacture. From user-centred design to sustainable design, from manufacturing operations to remanufacturing, from advanced materials research to systems engineering.

Explore Open Access research by DMEM...

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 the Fourth International Conference, Symmetry in Nonlinear Mathematical Physics. Proceedings of Institute of Mathematics of NAS of Ukraine, 43 . Institute of Mathematics of NAS, Kyiv, Ukraine, pp. 384-391. ISBN 9660224869

Text (strathprints002036)
strathprints002036.pdf - Final Published Version

Download (141kB) | Preview


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.