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arXiv · 1604.00505

On nonlinear superposition of shock waves for the KdV-Burgers equation

Alexey Samokhin
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Abstract

Superposition of explicit (analytic) monotone non-increasing shock waves for the KdV-Burgers equation is studied, modelled numerically and graphically presented. Initial profile chosen as a sum of two such shock waves gradually transforms into a single shock wave of a somewhat complex yet predictable structure. This transformation is demonstrated in detail.

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Alexey Samokhin. 2016-04-02. On nonlinear superposition of shock waves for the KdV-Burgers equation. https://arxiv.org/abs/1604.00505

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