Asymptotic <i>m</i>-phase soliton-type solutions of a singularly perturbed Korteweg?de Vries equation with variable coefficients

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

Abstract

We propose an algorithm for the construction of asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg – de Vries equation with varying coefficients and establish the accuracy with which the main term asymptotically satisfies the considered equation.
Published
25.07.2012
How to Cite
Samoilenko, V. G., and Y. I. Samoilenko. “Asymptotic <i>m</i&gt;-Phase Soliton-Type Solutions of a Singularly Perturbed Korteweg?De Vries Equation With Variable Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 7, July 2012, pp. 970-87, http://umj.imath.kiev.ua/index.php/umj/article/view/2632.
Section
Research articles