Circular viewpoint of higher-order rogue wave structures of the nonlinear Schrödinger equation
Year: 2025
Type: article
Abstract: We analyze rogue wave patterns for various orders of the nonlinear Schrödinger equation for large values of solution parameters. We use a combination of exact solutions, geometric constructions and polynomial approximations for analysis, and introduce a new way of viewing the formations of rogue waves, including the triangular ones, by showing that they all can be represented as occupying circular shells, some of which contain ‘nuclei’.
Source: Physica Scripta
Author: A Ankiewicz
Institution: Australian National University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,400
OpenAlex ID: W4407685733