Vakhnenko, V.O. and Parkes, J. (2004) The Connection of the DegasperisProcesi equation with the Vakhnenko equation. In: Proceedings of Institute of Mathematics of NAS of Ukraine. Institute of Mathematics of NAS, pp. 493497. ISBN 9660232241

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Abstract
Travellingwave solutions of the DegasperisProcesi equation (DPE) are investigated. The solutions are characterized by two parameters. Humplike, looplike and coshoidal periodicwave solutions are found; humplike, looplike and peakon solitarywave 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.
Item type:  Book Section 

ID code:  2210 
Keywords:  DegasperisProcesi equation, coshoidal periodicwavesolutions, Vakhnenko equation, Mathematics 
Subjects:  Science > Mathematics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Strathprints Administrator 
Date Deposited:  15 Nov 2006 
Last modified:  27 Mar 2015 00:21 
URI:  http://strathprints.strath.ac.uk/id/eprint/2210 
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