Spectral curves for the rogue waves
Mathematical Physics
2017-12-27 v1 math.MP
Spectral Theory
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
Here we find the spectral curves, corresponding to the known rational or quasi-rational solutions of AKNS hierarchy equations, ultimately connected with the modeling of the rogue waves events in the optical waveguides and in hydrodynamics. We also determine spectral curves for the multi-phase trigonometric, hyperbolic and elliptic solutions for the same hierarchy. It seams that the nature of the related spectral curves was not sufficiently discussed in existing literature.
Cite
@article{arxiv.1712.09309,
title = {Spectral curves for the rogue waves},
author = {Aleksandr O. Smirnov and Vladimir B. Matveev and Yury A. Gusman and Nikita V. Landa},
journal= {arXiv preprint arXiv:1712.09309},
year = {2017}
}
Comments
15 pages, LaTeX