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Rogue and semi-rogue waves defined by volume

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Abstract

We define a quantized nonlinear pulse ‘volume’. This then allows us to determine the characteristic of a possible rogue wave by looking at its volume, found from a surface integral. Where higher powers are needed in the integrand, due to slow decay of a pulse, we describe the excitation as a ‘semi-rogue’ wave.

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  1. Optical Sciences Group, Com.Theor.Phys., Research School of Physics, The Australian National University, Canberra, ACT, 2601, Australia

    A. Ankiewicz

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  1. A. Ankiewicz
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Ankiewicz, A. Rogue and semi-rogue waves defined by volume. Nonlinear Dyn 104, 4241–4252 (2021). https://doi.org/10.1007/s11071-021-06449-5

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