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2019 | OriginalPaper | Chapter

Solutions of Traveling Wave Type for Korteweg-de Vries-Type System with Polynomial Potential

Authors : Levon A. Beklaryan, Armen L. Beklaryan, Alexander Yu. Gornov

Published in: Optimization and Applications

Publisher: Springer International Publishing

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Abstract

This paper deals with the implementation of numerical methods for searching for traveling waves for Korteweg-de Vries-type equations with time delay. Based upon the group approach, the existence of traveling wave solution and its boundedness are shown for some values of parameters. Meanwhile, solutions constructed with the help of the proposed constructive method essentially extend the class of systems, possessing solutions of this type, guaranteed by theory. The proposed method for finding solutions is based on solving a multiparameter extremal problem. Several numerical solutions are demonstrated.

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Title: Solutions of Traveling Wave Type for Korteweg-de Vries-Type System with Polynomial Potential
Authors: Levon A. Beklaryan
Armen L. Beklaryan
Alexander Yu. Gornov
Publisher: Springer International Publishing
Book: Optimization and Applications
Print ISBN: 978-3-030-10933-2

Electronic ISBN: 978-3-030-10934-9

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-10934-9_21

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