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Some Novel Solutions of the Coupled Whitham-Broer-Kaup Equations

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4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019) (CMES 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1111))

Abstract

The shallow water equations provide a vast range of applications in the ocean, atmospheric modeling, and pneumatic computing, which can also be utilized to modeling flows in rivers and coastal areas. The Bernoulli sub-equation function method is utilized to build the analytic solutions of the (1+1) dimensional coupled Whitham-Broer-Kaup (WBK) equations. This partial differential equation model is translated into ordinary differential equations in order to construct new exponential prototype structures. As a result, the novel results are obtained and then plotted in 3D and 2D surfaces.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Zakho, Zakho, Iraq

    Hezha H. Abdulkareem & Hajar F. Ismael

  2. Department of Mathematics, University of Firat, Elazig, Turkey

    Hezha H. Abdulkareem, Hajar F. Ismael, Etibar Sadi Panakhov & Hasan Bulut

  3. Institute of Applied Mathematics, Bakun State University, Baku, Azerbaijan

    Etibar Sadi Panakhov

Authors
  1. Hezha H. Abdulkareem
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  2. Hajar F. Ismael
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  3. Etibar Sadi Panakhov
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  4. Hasan Bulut
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Corresponding author

Correspondence to Hezha H. Abdulkareem .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, India

    Hemen Dutta

  2. FSTE, Moulay Ismail University, Meknes, Morocco

    Zakia Hammouch

  3. Department of Mathematics, Fırat University, Elâzığ Merkez, Turkey

    Hasan Bulut

  4. Faculty of Education, Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

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Abdulkareem, H.H., Ismael, H.F., Panakhov, E.S., Bulut, H. (2020). Some Novel Solutions of the Coupled Whitham-Broer-Kaup Equations. In: Dutta, H., Hammouch, Z., Bulut, H., Baskonus, H. (eds) 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019). CMES 2019. Advances in Intelligent Systems and Computing, vol 1111. Springer, Cham. https://doi.org/10.1007/978-3-030-39112-6_14

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  • DOI: https://doi.org/10.1007/978-3-030-39112-6_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39111-9

  • Online ISBN: 978-3-030-39112-6

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