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arXiv · 2112.15140

Broader Universality of Rogue Waves of Infinite Order

Deniz Bilman·Peter D. Miller
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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.

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Deniz Bilman, Peter D. Miller. 2021-12-30. Broader Universality of Rogue Waves of Infinite Order. https://doi.org/10.1016/j.physd.2022.133289

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