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Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics

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  • Gao, Xin-Yi
  • Guo, Yong-Jiang
  • Shan, Wen-Rui

Abstract

As for certain wave processes in oceanography, acoustics or hydrodynamics, we investigate an extended coupled (2+1)-dimensional Burgers system by way of finding out that the system passes the Painlevé test and working out two sets of the similarity reductions through symbolic computation. Each set relies on the coefficients in the system, and can develop into a known ordinary differential equation.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005033
    DOI: 10.1016/j.chaos.2022.112293
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    Cited by:

    1. 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).
    2. 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).
    3. 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).
    4. 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).
    5. 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).
    6. 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).

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