Comment on "Doubly periodic solutions of the focusing nonlinear Schr\"odinger equation: Recurrence, period doubling, and amplification outside the conventional modulation-instability band"

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Publication:6396326

arXiv2204.05846MaRDI QIDQ6396326

H. W. Schürmann, Valery Serov

Publication date: 12 April 2022

Abstract: In their interesting article (Physical Review A, Vol. 101, 023843 (2020)) Conforti et al. present doubly periodic (elliptic) solutions of the nonlinear Schr"odinger equation, based on an earlier article by Akhmediev et.al. (Theoretical and Mathematical Physics, Vol. 72, 809 (1987)). We present some notes with respect to correctness, completeness, and representation of the solutions obtained.












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