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Penrose instabilities and the emergence of rogue waves in Sasa–Satsuma equation

Pradeepa, M and Vishnu Priya, N and Senthilvelan, M (2021) Penrose instabilities and the emergence of rogue waves in Sasa–Satsuma equation. In: European Physical Journal Plus, 136 (5).

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Official URL: https://doi.org/10.1140/epjp/s13360-021-01570-1


In this paper, we calculate the region of emergence of rogue waves in the Sasa–Satsuma equation by performing Penrose stability analysis. We consider Wigner-transformed Sasa–Satsuma equation and separate out unstable solutions, namely Penrose instability modes. We superpose these modes in a small region. With the help of marginal property of the Wigner transform, we identify the region in which rogue wave solution can emerge in the Sasa–Satsuma equation and calculate the amount of spatial localization. We also formulate a condition for the emergence of rogue wave solution in the Sasa–Satsuma equation.

Item Type: Journal Article
Publication: European Physical Journal Plus
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 06 Jun 2023 09:27
Last Modified: 06 Jun 2023 09:27
URI: https://eprints.iisc.ac.in/id/eprint/81795

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