MULTIPHASE SOLUTIONS OF NONLOCAL SYMMETRIC REDUCTIONS OF EQUATIONS OF THE AKNS HIERARCHY: GENERAL ANALYSIS AND SIMPLEST EXAMPLES

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TitreMULTIPHASE SOLUTIONS OF NONLOCAL SYMMETRIC REDUCTIONS OF EQUATIONS OF THE AKNS HIERARCHY: GENERAL ANALYSIS AND SIMPLEST EXAMPLES
Type de publicationJournal Article
Year of Publication2020
AuteursMatveev V.B, Smirnov A.O
JournalTHEORETICAL AND MATHEMATICAL PHYSICS
Volume204
Pagination1154-1165
Date PublishedSEP
Type of ArticleArticle
ISSN0040-5779
Mots-clésAKNS hierarchy, modified Korteweg-de Vries equation, Nonlinear Schrodinger equation, nonlocal model, PT symmetry
Résumé

We consider nonlocal symmetries that all or all even (all odd) equations of the AKNS hierarchy have. We construct examples of solutions simultaneously satisfying several nonlocal equations of the AKNS hierarchy. We present a detailed study of single-phase solutions.
DOI10.1134/S0040577920090056