Acta Optica Sinica, Volume. 44, Issue 5, 0519001(2024)

Multiple Breathers of AB System Under Background of Elliptic Functions

Weiyue Xiong, Haiqiang Zhang*, and Hui Yao
Author Affiliations
  • College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
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    References(19)

    [1] Kharif C, Pelinovsky E. Physical mechanisms of the rogue wave phenomenon[J]. European Journal of Mechanics-B/Fluids, 22, 603-634(2003).

    [2] Ling L M, Feng B F, Zhu Z N. Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation[J]. Physica D: Nonlinear Phenomena, 327, 13-29(2016).

    [3] Fleischhauer M, Imamoglu A, Marangos J P. Electromagnetically induced transparency: optics in coherent media[J]. Reviews of Modern Physics, 77, 633-673(2005).

    [4] Hu M J, Wang D L, Dong Y Y et al. Storage and retrieval of optical soliton in N-type quantum well EIT medium under high-order effects[J]. Acta Optica Sinica, 43, 1919001(2023).

    [5] He Z M, Zhu Q Q, Pan X. Reflection. oscillation behaviors of solitons in ultracold Bose gases with spatiotemporally modulated interactions in an expulsive parabolic potential[J]. Acta Optica Sinica, 43, 1327001(2023).

    [6] Han D D, Zhang J Y, Ren K L et al. Real-time measurement of fission dynamics of dissipative soliton[J]. Acta Optica Sinica, 42, 0706001(2022).

    [7] Yang Z Y, Wu Y H. Frontier progress of breathers in nonlinear optical systems(invited)[J]. Acta Photonica Sinica, 51, 1019001(2022).

    [8] Kuznetsov E A. Solitons in a parametrically unstable plasma[J]. Akademiia Nauk SSSR Doklady, 236, 575-577(1977).

    [9] Ma Y C. The perturbed plane-wave solutions of the cubic Schrödinger equation[J]. Studies in Applied Mathematics, 60, 43-58(1979).

    [10] Akhmediev N N, Korneev V I. Modulation instability and periodic solutions of the nonlinear Schrödinger equation[J]. Theoretical and Mathematical Physics, 69, 1089-1093(1986).

    [11] Its A R, Rybin A V, Sall' M A. Exact integration of nonlinear Schrödinger equation[J]. Theoretical and Mathematical Physics, 74, 20-32(1988).

    [12] Kamchatnov A M, Pavlov M V. Periodic solutions and Whitham equations for the AB system[J]. Journal of Physics A: Mathematical and General, 28, 3279-3288(1995).

    [13] Kibler B, Fatome J, Finot C et al. The peregrine soliton in nonlinear fibre optics[J]. Nature Physics, 6, 790-795(2010).

    [14] Kamchatnov A M. On improving the effectiveness of periodic solutions of the NLS and DNLS equations[J]. Journal of Physics A Mathematical General, 23, 2945-2960(1990).

    [15] Bailung H, Sharma S K, Nakamura Y. Observation of peregrine solitons in a multicomponent plasma with negative ions[J]. Physical Review Letters, 107, 255005(2011).

    [16] Whitham G B. Non-linear dispersive waves[J]. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences, 283, 238-261(1965).

    [17] Walker D A G, Taylor P H, Taylor R E. The shape of large surface waves on the open sea and the Draupner New Year wave[J]. Applied Ocean Research, 26, 73-83(2004).

    [18] Matveev V B, Salle M A[M]. Darboux transformations and solitons(1991).

    [19] Gu C H, Hu H S, Zhou Z X[M]. Darboux transformation in soliton theory and its applications on geometry(2005).

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    Weiyue Xiong, Haiqiang Zhang, Hui Yao. Multiple Breathers of AB System Under Background of Elliptic Functions[J]. Acta Optica Sinica, 2024, 44(5): 0519001

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    Paper Information

    Category: Nonlinear Optics

    Received: Oct. 20, 2023

    Accepted: Dec. 25, 2023

    Published Online: Mar. 15, 2024

    The Author Email: Haiqiang Zhang (hqzhang@usst.edu.cn)

    DOI:10.3788/AOS231678

    CSTR:32393.14.AOS231678

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