Asymptotic $Σ$-solutions to singularly perturbed Benjamin – Bona – Mahony equation with variable coefficients

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

Abstract

We study the problem of construction of asymptotic $\Sigma$ -solutions to the singularly perturbed Benjamin – Bona – Mahony equation with variable coefficients. An algorithm for the construction of solutions is described. We determine main and first terms of the asymptotic solution. The theorems on the accuracy with which the indicated asymptotic solution satisfies the considered equation are also proved.
Published
25.02.2018
How to Cite
SamoilenkoV. G., and SamoilenkoY. I. “Asymptotic $Σ$-Solutions to Singularly perturbed Benjamin – Bona – Mahony Equation With Variable Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 2, Feb. 2018, pp. 236-54, http://umj.imath.kiev.ua/index.php/umj/article/view/1554.
Section
Research articles