TY - JOUR
AU - V. G. Samoilenko
AU - Yu. I. Samoilenko
PY - 2018/02/25
Y2 - 2020/12/03
TI - Asymptotic $Σ$-solutions to singularly perturbed
Benjamin – Bona – Mahony equation with variable coefficients
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 70
IS - 2
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1554
AB - 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 andfirst terms of the asymptotic solution. The theorems on the accuracy with which the indicated asymptotic solution satisfiesthe considered equation are also proved.
ER -