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

Authors

  • 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.

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Published

25.01.2007

Issue

Vol. 59 No. 1 (2007)

Section

Research articles

How to Cite

Samoilenko, V. G., and Yu. I. Samoilenko. “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, https://umj.imath.kiev.ua/index.php/umj/article/view/3295.