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

  • V. G. Samoilenko
  • Yu. I. Samoilenko

Abstract

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.
Published
25.01.2007
How to Cite
SamoilenkoV. G., and SamoilenkoY. I. “Asymptotic Solutions of the Cauchy Problem for the Singularly Perturbed Korteweg-De Vries Equation With Variable Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 1, Jan. 2007, pp. 122–132, http://umj.imath.kiev.ua/index.php/umj/article/view/3295.
Section
Research articles