Ukrainian Mathematical Journal

, Volume 64, Issue 7, pp 1109–1127

Asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients

  • V. H. Samoilenko
  • Yu. I. Samoilenko
Article

DOI: 10.1007/s11253-012-0702-5

Cite this article as:
Samoilenko, V.H. & Samoilenko, Y.I. Ukr Math J (2012) 64: 1109. doi:10.1007/s11253-012-0702-5

We propose an algorithm for the construction of asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients and establish the accuracy with which the main term asymptotically satisfies the considered equation.

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • V. H. Samoilenko
    • 1
  • Yu. I. Samoilenko
    • 1
  1. 1.KyivUkraine