Renormalized asymptotic solutions of the Burgers equation and the Korteweg-de Vries equation

2015/01/12 by Sergei V. Zakharov, Zakharov, Sergei V.
Mathematics · Physics and Astronomy · #35K15 #35Q53 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1501.02542

openalex publication_date 2015/01/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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