From generalized Fourier transforms to spectral curves for the Manakov hierarchy. I. Generalized Fourier transforms

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TitreFrom generalized Fourier transforms to spectral curves for the Manakov hierarchy. I. Generalized Fourier transforms
Type de publicationJournal Article
Year of Publication2020
AuteursGerdjikov V.S, Smirnov A.O, Matveev V.B
JournalEUROPEAN PHYSICAL JOURNAL PLUS
Volume135
Pagination659
Date PublishedAUG 17
Type of ArticleArticle
ISSN2190-5444
Résumé

{The generalized Fourier transforms (GFTs) for the hierarchies of multi-component models of Manakov type are revisited. Our aim is to adapt GFT so that one could treat the whole hierarchy of nonlinear evolution equations simultaneously. To this end we consider the potential Q of the Lax operator L as local coordinate on some symmetric space depending on an infinite number of variables t, and zk
DOI10.1140/epjp/s13360-020-00668-2