期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 59, 期 9, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.5049949
关键词
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资金
- RFBR [16-01-00518]
- International Workshop on Gromov-Witten Theory in Hefei, China
We describe a unified structure of rogue wave and multiple rogue wave solutions for all equations of the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and their mixed and deformed versions. The definition of the AKNS hierarchy and its deformed versions is given in the Sec. II. We also consider the continuous symmetries of the related equations and the related spectral curves. This work continues and summarises some of our previous studies dedicated to the rogue wave-like solutions associated with AKNS, nonlinear Schrodinger, and KP hierarchies. The general scheme is illustrated by the examples of small rank n, n <= 7, rational or quasi-rational solutions. In particular, we consider rank-2 and rank-3 quasi-rational solutions that can be used for prediction and modeling of the rogue wave events in fiber optics, hydrodynamics, and many other branches of science. Published by AIP Publishing.
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