2017
Том 69
№ 7

All Issues

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

Samoilenko V. G., Samoilenko Yu. I.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 7, pp 1109-1127.

Citation Example: Samoilenko V. G., Samoilenko Yu. I. Asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg?de Vries equation with variable coefficients // Ukr. Mat. Zh. - 2012. - 64, № 7. - pp. 970-87.

Full text