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

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

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Bibliographic Details
Date:2012
Main Authors: Samoilenko, V. G., Samoilenko, Yu. I., Самойленко, В. Г., Самойленко, Юл. І.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2632
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal