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Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics

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Abstract

The breather wave and lump periodic wave solutions for the (\(2+1\))-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada system are established in this paper. To achieve such novel solutions, we employ the Hirota bilinear approach. The novel breather and lump periodic solutions have been researched to explain unique physical challenges. These breakthroughs have been demonstrated to be advantageous in the transmission of long-wave and high-power communications networks. The circumstances of the existence of these solutions are described in detail.

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Authors and Affiliations

  1. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Abdullahi Yusuf & Tukur Abdulkadir Sulaiman

  2. Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi Arabia

    Ali S. Alshomrani

  3. Department of Mathematics, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  4. Institute of Space Sciences, Magurele, Bucharest, Romania

    Dumitru Baleanu

  5. Lebanese American University, 11022801, Beirut, Lebanon

    Dumitru Baleanu

Authors
  1. Abdullahi Yusuf
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  2. Tukur Abdulkadir Sulaiman
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  4. Dumitru Baleanu
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Correspondence to Tukur Abdulkadir Sulaiman.

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Yusuf, A., Sulaiman, T.A., Alshomrani, A.S. et al. Breather and lump-periodic wave solutions to a system of nonlinear wave model arising in fluid mechanics. Nonlinear Dyn 110, 3655–3669 (2022). https://doi.org/10.1007/s11071-022-07789-6

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