Broader Universality of Rogue Waves of Infinite Order
arXiv:2112.15140 · doi:10.1016/j.physd.2022.133289
Abstract
We show that the same special solution of the focusing nonlinear Schrödinger 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 Bäcklund transformations.
21 pages