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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Abstract
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. © 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.
| 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 Authors |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 19 Aug 2021 07:27 |
| Last Modified: | 19 Aug 2021 07:27 |
| URI: | http://eprints.iisc.ac.in/id/eprint/69257 |
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