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