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

  • Hezha H. AbdulkareemEmail author
  • Hajar F. Ismael
  • Etibar Sadi Panakhov
  • Hasan Bulut
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1111)


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.


Nonlinear Whitham-Broer-Kaup equation Bernoulli sub-equation method Exponential solution 


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Hezha H. Abdulkareem
    • 1
    • 2
    Email author
  • Hajar F. Ismael
    • 1
    • 2
  • Etibar Sadi Panakhov
    • 2
    • 3
  • Hasan Bulut
    • 2
  1. 1.Department of MathematicsUniversity of ZakhoZakhoIraq
  2. 2.Department of MathematicsUniversity of FiratElazigTurkey
  3. 3.Institute of Applied MathematicsBakun State UniversityBakuAzerbaijan

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