2017
Том 69
№ 9

All Issues

Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients

Samoilenko V. G., Samoilenko Yu. I.

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Abstract

We propose an algorithm for the construction of an asymptotic solution of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients and prove a theorem on the estimation of its precision.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 1, pp 126-139.

Citation Example: Samoilenko V. G., Samoilenko Yu. I. Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients // Ukr. Mat. Zh. - 2007. - 59, № 1. - pp. 122–132.

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