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On the Exact Traveling Wave Solutions to the van der Waals p-System

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Abstract

This article possesses new exact wave structures to the the van der waals gas system in the viscosity-capillarity regularization version. The solutions are achieved in single and combined behavior like shock, singular, shock-singular by utilizing innovative integration norms namely (\(\frac{G^{\prime }}{G^2}\))-expansion and advance \({\text {e}}^{-\phi (\zeta )}\)-expansion function (AEFM) approaches. The plane wave and periodic solutions have also emerged. The constraint conditions for valid solutions are also reported. Moreover, under the suitable choice of involved parameters 3-dimensional and their corresponding contour plots are also sketched. The obtained results show that the applied computational schemes are straightforwards, efficient, concise and can be utilized for more complex physical phenomena in various fields of sciences.

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Authors and Affiliations

  1. PUCIT, University of the Punjab, Lahore, 54000, Pakistan

    M. Bilal, M. Younis, S. U. Rehman & U. Younas

  2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    H. Rezazadeh

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

    T. A. Sulaiman & A. Yusuf

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

    T. A. Sulaiman & A. Yusuf

Authors
  1. M. Bilal
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  2. M. Younis
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  3. H. Rezazadeh
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  4. T. A. Sulaiman
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  5. A. Yusuf
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  7. U. Younas
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All authors carried out the proofs and conceived of the study. All authors read and approved the final manuscript.

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Correspondence to U. Younas.

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Bilal, M., Younis, M., Rezazadeh, H. et al. On the Exact Traveling Wave Solutions to the van der Waals p-System. Int. J. Appl. Comput. Math 7, 88 (2021). https://doi.org/10.1007/s40819-021-01038-x

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