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arXiv 2016-04-02 0 views

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

Samokhin, Alexey

Original · EN

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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