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

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Ukrainian Mathematical Journal Aims and scope

We propose an algorithm for the construction of asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients and establish the accuracy with which the main term asymptotically satisfies the considered equation.

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  1. Shevchenko Kyiv National University, Kyiv, Ukraine

    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. 64, No. 7, pp. 970–987, July, 2012.

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Samoilenko, V.H., Samoilenko, Y.I. Asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients. Ukr Math J 64, 1109–1127 (2012). https://doi.org/10.1007/s11253-012-0702-5

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  • DOI: https://doi.org/10.1007/s11253-012-0702-5

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