Picture of a black hole

Strathclyde Open Access research that creates ripples...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of research papers by University of Strathclyde researchers, including by Strathclyde physicists involved in observing gravitational waves and black hole mergers as part of the Laser Interferometer Gravitational-Wave Observatory (LIGO) - but also other internationally significant research from the Department of Physics. Discover why Strathclyde's physics research is making ripples...

Strathprints also exposes world leading research from the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

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

[img]
Preview
PDF (strathprints002036.pdf)
strathprints002036.pdf

Download (163kB) | Preview

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.