Elliptic solitons and “freak waves” - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue St. Petersburg Mathematical Journal Année : 2022

Elliptic solitons and “freak waves”

Résumé

It is shown that elliptic solutions to the AKNS hierarchy equations can be obtained by exploring spectral curves that correspond to elliptic solutions of the KdV hierarchy. This also allows one to get the quasirational and trigonometric solutions for AKNS hierarchy equations as a limit case of the elliptic solutions mentioned above.

Dates et versions

hal-03892397 , version 1 (09-12-2022)

Identifiants

Citer

Vladimir Matveev, A. Smirnov. Elliptic solitons and “freak waves”. St. Petersburg Mathematical Journal, 2022, 33 (3), pp.523-551. ⟨10.1090/spmj/1713⟩. ⟨hal-03892397⟩
14 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More