Abstract
We analyze first- and second-order rogue waves of the equations in the nonlinear Schrödinger equation (NLS) hierarchy. A physical phenomenon may be described by an individual equation or by a combination of them. We focus on localized (in 2D) formations. Then we can find the ‘volumes’ of these rogue waves and classify the formations as rogue or ‘semi-rogue’ waves. In other cases, there can be a rogue-type central structure connected to ‘soliton tails,’ and, in these cases, the standard ‘volume’ may be infinite, and a ’modified volume’ can be introduced.
Original language | English |
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Pages (from-to) | 3695-3706 |
Number of pages | 12 |
Journal | Nonlinear Dynamics |
Volume | 112 |
Issue number | 5 |
DOIs | |
Publication status | Published - Mar 2024 |