https://doi.org/10.1140/epjp/s13360-020-00588-1
Regular Article
From generalized Fourier transforms to spectral curves for the Manakov hierarchy. II. Spectral curves for the Manakov hierarchy
1
Sankt-Petersburg State University of Aerospace Instrumentation, St-Petersburg, Russia
2
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
3
Sankt-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St-Petersburg, Russia
4
Institut de Mathématiques de Bourgogne, UMR 5584-CNRS, Université de Bourgogne - Franche Comté, Dijon Cedex, France
Received:
31
May
2020
Accepted:
4
July
2020
Published online:
11
July
2020
The hierarchies of multicomponent models of Manakov type are briefly outlined. Many of them have important applications n nonlinear optics. Next, we develop a method for calculating the spectral curves for the multiphase solutions of these equations. We discuss also other multicomponent generalization of Manakov system to which our method can be extended.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
