On nonlinear superposition of shock waves for the KdV-Burgers equation
arXiv:1604.00505
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.
7 pages, 12 figures