Abstract
In this paper the spectral problem of third order for the inverse scattering transform (IST) method is solved. For the discrete part of the spectral data, the two-multiple poles are taken into account. The line spectrum of continuum states for the IST method is examined as well. The suggested spectrum approximates in first order the step-function. The scope for the sug- gested
spectral data is demonstrated through the analysis of the Vakhnenko–Parkes equation that allows new solutions to be obtained. The account of the time-dependence is different from the standard procedure.
spectral data is demonstrated through the analysis of the Vakhnenko–Parkes equation that allows new solutions to be obtained. The account of the time-dependence is different from the standard procedure.
Original language | English |
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Pages (from-to) | 116-124 |
Number of pages | 9 |
Journal | Chaos, Solitons and Fractals |
Volume | 82 |
Early online date | 30 Nov 2015 |
DOIs | |
Publication status | Published - 1 Jan 2016 |
Keywords
- inverse problem
- spectral data
- two-multiple poles
- line spectrum of continuum states