Inverse design of extreme waves

Stanislav Derevyanko; Sergei Turitsyn

doi:10.1063/10.0036802

Inverse design of extreme waves

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Abstract

We examine the characteristics of the initial conditions leading to the appearance of freak waves of high amplitude within the framework of the nonlinear Schrödinger equation. We consider several of the most representative shapes of the waves with high amplitude as potential candidates for the rogue waves and obtain sufficient criteria for their parameters. We also estimate the maximum norm of the resulting rogue wave solution. The results pave the way for analysis of the properties of initial conditions that might lead to the occurrence of high amplitude field spikes in the applications governed by the nonlinear Schrödinger equation.

Original language	English
Pages (from-to)	794-797
Number of pages	4
Journal	Low Temperature Physics
Volume	51
Issue number	6
DOIs	https://doi.org/10.1063/10.0036802
Publication status	Published - 1 Jun 2025

Bibliographical note

Copyright © 2025 Author(s). Published under exclusive license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in: Derevyanko, S., & Turitsyn, S. (2025). Inverse design of extreme waves. Low Temperature Physics, 51(6), 794-797. https://doi.org/10.1063/10.0036802 and may be found at: https://pubs.aip.org/aip/ltp/article/51/6/794/3348233/Inverse-design-of-extreme-waves

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10.1063/10.0036802

Inverse design of extreme waves_AAM
Copyright © 2025 Author(s). Published under exclusive license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in: Derevyanko, S., & Turitsyn, S. (2025). Inverse design of extreme waves. Low Temperature Physics, 51(6), 794-797. https://doi.org/10.1063/10.0036802 and may be found at: https://pubs.aip.org/aip/ltp/article/51/6/794/3348233/Inverse-design-of-extreme-waves
Accepted author manuscript, 524 KBLicence: Unspecified

Cite this

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abstract = "We examine the characteristics of the initial conditions leading to the appearance of freak waves of high amplitude within the framework of the nonlinear Schr{\"o}dinger equation. We consider several of the most representative shapes of the waves with high amplitude as potential candidates for the rogue waves and obtain sufficient criteria for their parameters. We also estimate the maximum norm of the resulting rogue wave solution. The results pave the way for analysis of the properties of initial conditions that might lead to the occurrence of high amplitude field spikes in the applications governed by the nonlinear Schr{\"o}dinger equation.",

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Inverse design of extreme waves

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