Rational solutions to the mKdV equation associated to particular polynomials

Affiliation auteursAffiliation ok
TitreRational solutions to the mKdV equation associated to particular polynomials
Type de publicationJournal Article
Year of Publication2021
AuteursGaillard P
JournalWAVE MOTION
Volume107
Pagination102824
Date PublishedDEC
Type of ArticleArticle
ISSN0165-2125
Mots-clésmKdV equation, Rational solutions
Résumé

Rational solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions. We construct very easily explicit expressions of these rational solutions for the first orders n = 1 until 10. (C) 2021 Published by Elsevier B.V.

DOI10.1016/j.wavemoti.2021.102824