Reflectionless potentials and resonant scattering of flat-top and thin-top solitons

被引：5
|
作者：
Al Sakkaf, L. [1 ]
Al Khawaja, U. [1 ]
机构：
[1] United Arab Emirates Univ, Dept Phys, POB 15551, Al Ain, U Arab Emirates
来源：
PHYSICAL REVIEW E | 2023年 / 107卷 / 01期
关键词：
QUANTUM; DROPLETS;
D O I：
10.1103/PhysRevE.107.014202
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We identify a class of potentials for which the scattering of flat-top solitons and thin-top solitons of the nonlinear Schrodinger equation with dual nonlinearity can be reflectionless. The scattering is characterized by sharp resonances between regimes of full transmission and full quantum reflection. Perturbative expansion in terms of the magnitude of radiation losses leads to the general form of reflectionless potentials. Simulating the scattering of flat-top solitons and thin-top solitons confirms the reflectionless feature of these potentials.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Elastic and inelastic scattering of flat-top solitons
    Al Khawaja, U.
    Alotaibi, M. O. D.
    Al Sakkaf, L.
    PHYSICAL REVIEW E, 2024, 110 (04)
  • [2] Unidirectional flow of flat-top solitons
    Alotaibi, M. O. D.
    Al Sakkaf, L.
    Al Khawaja, U.
    PHYSICS LETTERS A, 2023, 487
  • [3] Perfectly Flat-Top and Equiripple Flat-Top Cosine Windows
    Duda, Krzysztof
    Zielinski, Tomasz P.
    Barczentewicz, Szymon H.
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2016, 65 (07) : 1558 - 1567
  • [4] Stable flat-top solitons and peakons in the PT-symmetric δ-signum potentials and nonlinear media
    Chen, Yong
    Yan, Zhenya
    Mihalache, Dumitru
    CHAOS, 2019, 29 (08)
  • [5] Purely Kerr nonlinear model admitting flat-top solitons
    Zeng, Liangwei
    Zeng, Jianhua
    Kartashov, Yaroslav V.
    Malomed, Boris A.
    OPTICS LETTERS, 2019, 44 (05) : 1206 - 1209
  • [6] FLAT-TOP TALUS
    NORTON, P
    JOURNAL OF BONE AND JOINT SURGERY-AMERICAN VOLUME, 1964, 46 (02): : 458 - 458
  • [7] Flat-top bandpass filters enabled by cascaded resonant gratings
    Ko, Yeong Hwan
    Magnusson, Robert
    OPTICS LETTERS, 2016, 41 (20) : 4704 - 4707
  • [8] VARIATIONAL ANALYSIS OF FLAT-TOP SOLITONS IN BOSE-EINSTEIN CONDENSATES
    Baizakov, B. B.
    Bouketir, A.
    Messikh, A.
    Benseghir, A.
    Umarov, B. A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (18): : 2427 - 2440
  • [9] Flatons: Flat-top solitons in extended Gardner-like equations
    Rosenau, Philip
    Oron, Alexander
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 91
  • [10] Idiopathic flat-top talus
    Öztuna, V
    Günal, Y
    Kuyurtar, F
    JOURNAL OF THE AMERICAN PODIATRIC MEDICAL ASSOCIATION, 2002, 92 (06) : 368 - 370
12345