Collision of delta-waves in a turbulent model studied via a distribution product

By using a product of distributions, the existence and collision of soliton delta-waves for a singular perturbation of the Burgers conservative equation are established. We also prove that singular solitons under collision behave as in classical soliton collision (for example, as described by the Korteweg-de Vries equation). The impossibility of two delta-wave collisions for the inviscid Burgers conservative equation is also verified. The introduction is dedicated to a motivation for our study.