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Two-Phase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-De-Vries Equation with Variable Coefficients

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Ukrainian Mathematical Journal Aims and scope

We describe a set of initial conditions for which the Cauchy problem for a singularly perturbed Korteweg–de-Vries equation with variable coefficients has an asymptotic two-phase solitonlike solution. The notion of the manifold of initial data of the Cauchy problem for which this solution exists is proposed.

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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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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 11, pp. 1515–1530, November, 2013.

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Samoilenko, V.H., Samoilenko, Y.I. Two-Phase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-De-Vries Equation with Variable Coefficients. Ukr Math J 65, 1681–1697 (2014). https://doi.org/10.1007/s11253-014-0889-8

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