Broader universality of rogue waves of infinite order


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.

Physica D 435, 133289, 2022
Deniz Bilman
Deniz Bilman
Assistant Professor

Assistant Professor of Mathematics.