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    Supersonic flow past an obstacle in a quasi-two-dimensional Lee-Huang-Yang quantum fluid

    G. H. dos Santos1, L. F. Calazans de Brito1, A. Gammal1, and A. M. Kamchatnov2,3,4

    Phys. Rev. A 112, 033318 – Published 15 September, 2025

    DOI: https://doi.org/10.1103/mxyb-6jh1

    Abstract

    A supersonic flow past an obstacle can generate a rich variety of wave excitations. This paper investigates, both analytically and numerically, two types of excitations generated by the flow of a Lee-Huang-Yang quantum fluid past an obstacle: linear radiation and oblique dark solitons. We show that wave crests of linear radiation can be accurately described by the proper modification of the Kelvin original theory, while the oblique dark soliton solution is obtained analytically by transformation of the one-dimensional soliton solution to the obstacle's reference frame. A comparison between analytical predictions and numerical simulations demonstrates good agreement, validating our theoretical approach.

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