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Solitons in an inhomogeneous Murnaghan’s rod

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Abstract.

In this paper, we construct a family of wave solutions to the doubly dispersive equation, such as topological, non-topological, singular, compound topological-non-topological bell-type and compound singular, soliton-like, singular periodic wave and exponential function solutions. These analytical solutions are obtained by using the extended sinh-Gordon equation expansion method and the modified \(\exp(-\varphi(\zeta))\)-expansion function method. The doubly dispersive equation is an important nonlinear physical model describing the nonlinear wave propagation in the elastic inhomogeneous Murnaghan’s rod. Under a suitable choice of parameters, the 2D, 3D and contour graphics to the reported results are also plotted.

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Authors and Affiliations

  1. University of Tuscia, Engineering School (DEIM), 01100, Viterbo, Italy

    Carlo Cattani

  2. Firat University, Faculty of Science, 23119, Elazig, Turkey

    Tukur Abdulkadir Sulaiman & Hasan Bulut

  3. Federal University Dutse, Faculty of Science, 23119, Dutse, Jigawa, Nigeria

    Tukur Abdulkadir Sulaiman

  4. Munzur University, Faculty of Engineering, 63100, Tunceli, Turkey

    Haci Mehmet Baskonus

  5. Final International University, Faculty of Education, Kyrenia, Cyprus

    Hasan Bulut

Authors
  1. Carlo Cattani
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  2. Tukur Abdulkadir Sulaiman
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  3. Haci Mehmet Baskonus
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  4. Hasan Bulut
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Corresponding author

Correspondence to Hasan Bulut.

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Cattani, C., Sulaiman, T.A., Baskonus, H.M. et al. Solitons in an inhomogeneous Murnaghan’s rod. Eur. Phys. J. Plus 133, 228 (2018). https://doi.org/10.1140/epjp/i2018-12085-y

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  • DOI: https://doi.org/10.1140/epjp/i2018-12085-y

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