Renormalized asymptotic solutions of the Burgers equation and the Korteweg-de Vries equation
arXiv:1501.02542
Abstract
The Cauchy problem for the Burgers equation and the Korteweg-de Vries equation is considered. Uniform renormalized asymptotic solutions are constructed in cases of a large initial gradient and a perturbed initial weak discontinuity.
arXiv comment8 pages