Picture of person typing on laptop with programming code visible on the laptop screen

World class computing and information science research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

The Department also includes the iSchool Research Group, which performs leading research into socio-technical phenomena and topics such as information retrieval and information seeking behaviour.

Explore

The connection of the Degasperis-Procesi equation with the Vakhnenko equation

Vakhnenko, Vyacheslav O. and Parkes, John (2004) The connection of the Degasperis-Procesi equation with the Vakhnenko equation. In: Proceedings, 5th International Conference on Symmetry in Nonlinear Mathematical Physics (SYMMETRY 03). Proceedings of Institute of Mathematics of NAS of Ukraine, 50 . Institute of Mathematics of NAS, pp. 493-497. ISBN 9660232241

[img]
Preview
Text (strathprints002210)
strathprints002210.pdf - Final Published Version

Download (220kB) | Preview

Abstract

Travelling-wave solutions of the Degasperis-Procesi equation (DPE) are investigated. The solutions are characterized by two parameters. Hump-like, loop-like and coshoidal periodicwave solutions are found; hump-like, loop-like and peakon solitary-wave solutions are obtained as well. Hone and Wang showed a connection between the DPE and the Vakhnenko equation (VE). Comparing the solutions of the DPE and the VE, we observe that, for both equations at interaction of waves, there are three kinds of phaseshift that depend on the ratio of wave amplitudes. In particular, there is a case when two interacted waves have phaseshifts in the positive direction.