Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients

• Date: 2007
• Main Authors: Samoilenko, V. G., Samoilenko, Yu. I., Самойленко, В. Г., Самойленко, Юл. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3295
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We propose an algorithm for the construction of an asymptotic solution of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients and prove a theorem on the estimation of its precision.