A variety of exact analytical solutions of extended shallow water wave equations via improved (G’/G) -expansion method

  • Authors

    • Faisal Hawlader Bangabandhu Sheikh Mujibur Rahman Science and Technology University Gopalganj-8100, Bangladesh
    • Dipankar Kumar Bangabandhu Sheikh Mujibur Rahman Science and Technology University,Gopalganj-8100,Bangladesh
    2017-03-30
    https://doi.org/10.14419/ijpr.v5i1.7429
  • Extended Shallow Water Wave Equations, Exact Solutions, Improved (G’/G) -Expansion Method, Nonlinear Partial Differential Equations.

  • Abstract

    In this present work, we have established exact solutions for (2+1) and (3+1) dimensional extended shallow-water wave equations in-volving parameters by applying the improved (G’/G) -expansion method. Abundant traveling wave solutions with arbitrary parameter are successfully obtained by this method, and these wave solutions are expressed in terms of hyperbolic, trigonometric, and rational functions. The improved (G’/G) -expansion method is simple and powerful mathematical technique for constructing traveling wave, solitary wave, and periodic wave solutions of the nonlinear evaluation equations which arise from application in engineering and any other applied sciences. We also present the 3D graphical description of the obtained solutions for different cases with the aid of MAPLE 17.

    Author Biography

    • Faisal Hawlader, Bangabandhu Sheikh Mujibur Rahman Science and Technology University Gopalganj-8100, Bangladesh
      Mathematics

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  • How to Cite

    Hawlader, F., & Kumar, D. (2017). A variety of exact analytical solutions of extended shallow water wave equations via improved (G’/G) -expansion method. International Journal of Physical Research, 5(1), 21-27. https://doi.org/10.14419/ijpr.v5i1.7429

    Received date: 2017-02-27

    Accepted date: 2017-03-26

    Published date: 2017-03-30