Broader Universality of Rogue Waves of Infinite Order
Exactly Solvable and Integrable Systems
2022-05-04 v1 Analysis of PDEs
Classical Analysis and ODEs
Abstract
We show that the same special solution of the focusing nonlinear Schr\"{o}dinger equation that has been shown to arise in a certain near-field/large-order limit from soliton and Peregrine-like rogue wave solutions actually arises universally from an arbitrary background solution when subjected to a sequence of iterated B\"{a}cklund transformations.
Keywords
Cite
@article{arxiv.2112.15140,
title = {Broader Universality of Rogue Waves of Infinite Order},
author = {Deniz Bilman and Peter D. Miller},
journal= {arXiv preprint arXiv:2112.15140},
year = {2022}
}
Comments
21 pages