Peregrine soliton (PS) is widely regarded as a prototype nonlinear structure capturing properties of rogue waves that emerge in the nonlinear propagation of unidirectional wave trains. As an exact breather solution of the one-dimensional focusing nonlinear Schrödinger equation with nonzero boundary conditions, the PS can be viewed as a soliton on finite background, i.e. a nonlinear superposition of a soliton and a monochromatic wave. A recent mathematical work showed that both nonzero boundary conditions and solitonic content are not pre-requisites for the PS occurrence. Instead, it has been demonstrated that PS can emerge locally, as an asymptotic structure arising from the propagation of an arbitrary large decaying pulse, independently of its solitonic content. This mathematical discovery has changed the widely accepted paradigm of the solitonic nature of rogue waves by enabling the PS to emerge from a partially radiative or even completely solitonless initial data. In this work, we realize the mathematically predicted universal mechanism of the local PS emergence in a water tank experiment with a particular aim to control the point of the PS occurrence in space-time by imposing an appropriately chosen initial chirp. By employing the inverse scattering transform for the synthesis of the initial data, we are able to engineer a localized wave packet with a prescribed solitonic and radiative content. This enabled us to control the position of the emergence of the rogue wave by adjusting the inverse scattering spectrum. The proposed method of the nonlinear spectral engineering is found to be robust to higher-order nonlinear effects inevitable in realistic wave propagation conditions.
Rogue Wave Statistics from a Sparse Coherent Structure Decomposition
Institute of Mechanics, Chinese Academy of Sciences（中国科学院力学研究所）；Okinawa Institute of Science and Technology（冲绳科学技术大学院大学）；Imperial College London（伦敦帝国理工学院）；The University of Melbourne（墨尔本大学）
Breather transition dynamics, Peregrine combs/walls and modulation instability in a variable-coefficient nonlinear Schrödinger equation with higher-order effects
Correlated many-body quantum dynamics of the Peregrine soliton
University of Hamburg（汉堡大学）；Missouri University of Science and Technology（密苏里科技大学）；University of Massachusetts Amherst（马萨诸塞大学阿默斯特分校）；Purdue University（普渡大学）
Nonlinear Reshaping of Gaussian Water Wave Packets
Okinawa Institute of Science and Technology（冲绳科学技术大学院大学）；The University of Tokyo（东京大学）；The University of Sydney（悉尼大学）；University of Central Florida（中佛罗里达大学）；Imperial College London（伦敦帝国理工学院）；The University of Melbourne（墨尔本大学）
