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

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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.

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv

    V. H. Samoilenko & Yu. I. Samoilenko

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  1. V. H. Samoilenko
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  2. Yu. I. Samoilenko
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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

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