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.
In memory of Boris Dubrovin and Viktor Enol’skii.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
