On Nonlinear Superposition of the Kdv-burgers Equation

  • ALEXEY SAMOKHIN
  • Published 2016
Superposition of explicit (analytic) monotone nonincreasing shock waves for the KdV-Burgers equation is studied and modelled numerically. 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.