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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 1, pp. 122–132, January, 2007.
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Samoilenko, V.H., Samoilenko, Y.I. Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients. Ukr Math J 59, 126–139 (2007). https://doi.org/10.1007/s11253-007-0008-1
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DOI: https://doi.org/10.1007/s11253-007-0008-1