IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v170y2023ics0960077923002631.html
   My bibliography  Save this article

Non-compatible partially PT symmetric Davey–Stewartson system: Rational and semi-rational solution with nonzero background

Author

Listed:
  • Li, Lingfei
  • Zhu, Minting
  • Zheng, Han
  • Xie, Yingying

Abstract

The Davey–Stewartson (DS) system is an integrable extension of Schrödinger equation derived from 2 × 2 compatible linear pair, which describes the evolution of optical wave packet in nonlinear optics. This paper introduces its PT symmetric version, namely, the non-compatible partially PT symmetric DS system. “Non-compatible” means the first two equations of the system are inconsistent that the potential field does not need to satisfy certain additional constraints like the compatible case, which renders more freedom of constructing soliton solution. In addition, breather, a hybrid of breather and periodic wave are constructed via Hirota’s method. At the same time, the rational and semi-rational solutions are obtained by applying the “long wave” limit to the general form of N-soliton solution. The rational solution can be classified as lump wave, and two-extremum line rogue wave that appears either bright or dark. The semi-rational solution can be classified as a hybrid of lump wave and periodic wave, a hybrid of lump wave and Akhmediev breather, a hybrid of lump wave, Akhmediev breather, and periodic wave. The proposed technique may also help solve other nonlinear systems, and it is worth studying other symmetric reductions.

Suggested Citation

  • Li, Lingfei & Zhu, Minting & Zheng, Han & Xie, Yingying, 2023. "Non-compatible partially PT symmetric Davey–Stewartson system: Rational and semi-rational solution with nonzero background," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002631
    DOI: 10.1016/j.chaos.2023.113362
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923002631
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.113362?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Gao, Xin-Yi & Guo, Yong-Jiang & Shan, Wen-Rui, 2022. "Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and M solitons," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Ma, Yu-Lan & Wazwaz, Abdul-Majid & Li, Bang-Qing, 2021. "A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 505-519.
    3. Gao, Xin-Yi & Guo, Yong-Jiang & Shan, Wen-Rui, 2022. "Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Singh, Sudhir & Sakkaravarthi, K. & Murugesan, K., 2023. "Lump and soliton on certain spatially-varying backgrounds for an integrable (3+1) dimensional fifth-order nonlinear oceanic wave model," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Rao, Jiguang & Mihalache, Dumitru & He, Jingsong & Zhou, Fang, 2023. "Degenerate and non-degenerate vector solitons and their interactions in the two-component long-wave–short-wave model of Newell type," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    3. Triki, Houria & Sun, Yunzhou & Zhou, Qin & Biswas, Anjan & Yıldırım, Yakup & Alshehri, Hashim M., 2022. "Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    4. Alsufi, Nizar Abdallah & Fatima, Nahid & Noor, Adeeb & Gorji, M.R. & Alam, Mohammad Mahtab, 2023. "Lumps and interactions, fission and fusion phenomena in multi solitons of extended Shallow Water Wave Equation of (2+1)-dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    5. El-Tantawy, S.A. & Salas, Alvaro H. & Alyousef, Haifa A. & Alharthi, M.R., 2022. "Novel approximations to a nonplanar nonlinear Schrödinger equation and modeling nonplanar rogue waves/breathers in a complex plasma," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    6. Koike, Yukito & Nakamula, Atsushi & Nishie, Akihiro & Obuse, Kiori & Sawado, Nobuyuki & Suda, Yamato & Toda, Kouichi, 2022. "Mock-integrability and stable solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    7. Ma, Yu-Lan & Li, Bang-Qing, 2022. "Kraenkel-Manna-Merle saturated ferromagnetic system: Darboux transformation and loop-like soliton excitations," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    8. Cao, Na & Yin, XiaoJun & Bai, ShuTing & LiYangXu,, 2023. "Breather wave, lump type and interaction solutions for a high dimensional evolution model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    9. Sivenathi Oscar Mbusi & Ben Muatjetjeja & Abdullahi Rashid Adem, 2021. "Exact Solutions and Conservation Laws of a Generalized (1 + 1) Dimensional System of Equations via Symbolic Computation," Mathematics, MDPI, vol. 9(22), pages 1-10, November.
    10. Li, Bang-Qing & Ma, Yu-Lan, 2022. "Interaction properties between rogue wave and breathers to the manakov system arising from stationary self-focusing electromagnetic systems," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    11. Liu, Yaqing & Peng, Linyu, 2023. "Some novel physical structures of a (2+1)-dimensional variable-coefficient Korteweg–de Vries system," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002631. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.