학술논문
Non-interlacing peakon solutions of the Geng-Xue equation
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Working Paper
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Abstract
The aim of the present paper is to derive explicit formulas for arbitrary peakon solutions of the Geng-Xue equation, a two-component generalization of Novikov's cubically nonlinear Camassa-Holm type equation. By performing limiting procedures on the previosly known formulas for so-called interlacing peakon solutions, where the peakons in the two component occur alternatingly, we turn some of the peakons into zero-amplitude "ghostpeakons", in such a way that the remaining ordinary peakons occur in any desired configuration. We also study the large-time asymptotics of these solutions.
Comment: 133 pages, 25 figures. pdfLaTeX + AMS packages + hyperref + TikZ
Comment: 133 pages, 25 figures. pdfLaTeX + AMS packages + hyperref + TikZ