Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations

Vakhnenko, V.O. and Parkes, E.J. (2012) Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations. Journal of Mathematical Physics, 53 (6). ISSN 0022-2488

[img] PDF
vpJMP12.pdf - Draft Version

Download (574kB)

Abstract

The procedure for finding the solutions of the Vakhnenko-Parkes equation by means of the inverse scattering method is described. The continuous spectrum is taken into account in the associated eigenvalue problem. The suggested special form of the singularity function for continuous part of the spectral data gives rise to the multimode solutions. The sufficient conditions are proved in order that these solutions become real functions. The interaction of the N periodic waves is studied. The procedure is illustrated by considering a number of examples

Item type: Article
ID code: 40092
Keywords: eigenvalue problem , nonlinear equations, Vakhnenko-Parkes equation, Probabilities. Mathematical statistics, Mathematical Physics, Statistical and Nonlinear Physics
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date Deposited: 20 Jun 2012 13:51
Last modified: 15 Apr 2015 11:10
Related URLs:
URI: http://strathprints.strath.ac.uk/id/eprint/40092

Actions (login required)

View Item View Item