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Analysis of characteristics of rogue waves for higher-order equations

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Abstract

For various nonlinear physical equations, we describe the features of their rogue waves using simplified forms of their intensities and also by finding ‘volumes’. We present some analysis relating to other higher-order equations, that can be relevant to studies of optical fibres, ocean waves and other aspects of physics. These are related to several low-order KdV and mKdV equations. We investigate details of formations consisting of a central rogue wave with 1 or more solitons emerging from it. We thus classify solutions into rogue waves, semi-rogue waves and formations consisting of a ‘central rogue with soliton tails’.

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‘The authors declare that no funds, grants or other support were received during the preparation of this manuscript’.

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Authors and Affiliations

  1. Dept. of Fundamental and Theoretical Physics, Research School of Physics, The Australian National University, Canberra ACT, 2600, Australia

    A. Ankiewicz

  2. School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore

    A. Chowdury

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  1. A. Ankiewicz
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  2. A. Chowdury
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Both authors contributed equally to this project.

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Correspondence to A. Ankiewicz.

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Ankiewicz, A., Chowdury, A. Analysis of characteristics of rogue waves for higher-order equations. Nonlinear Dyn 109, 1069–1080 (2022). https://doi.org/10.1007/s11071-022-07497-1

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  • DOI: https://doi.org/10.1007/s11071-022-07497-1

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