Asymptotic Expansions for One-Phase Soliton-Type Solutions of the Korteweg-De Vries Equation with Variable Coefficients

Samoilenko V. G.; Samoilenko Yu. I.

Volume 70, № 8, 2018
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Том 70
№ 8

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Ukr. Mat. Zh.
Volume 57, № 1, 2005
pp. 111–124

Asymptotic Expansions for One-Phase Soliton-Type Solutions of the Korteweg-De Vries Equation with Variable Coefficients

Samoilenko V. G., Samoilenko Yu. I.

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Abstract

We construct asymptotic expansions for a one-phase soliton-type solution of the Korteweg-de Vries equation with coefficients depending on a small parameter.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 1, pp 132-148.

Citation Example: Samoilenko V. G., Samoilenko Yu. I. Asymptotic Expansions for One-Phase Soliton-Type Solutions of the Korteweg-De Vries Equation with Variable Coefficients // Ukr. Mat. Zh. - 2005. - 57, № 1. - pp. 111–124.

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