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Exact solutions of Kudryashov–Sinelshchikov equation using two analytical techniques

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Abstract

In this article, we construct the exact solutions of Kudryashov–Sinelshchikov equation (KSE) which is the generalization of KdV and describes the nonlinear waves in mixtures of gas–liquid in the absence of viscosity. We apply the Sardar-subequation method and the new extended hyperbolic function method to construct the exact solutions of KSE. Various novel computational solutions are demonstrated by two distinct types of sketches. These solutions reveal that current techniques are appropriate, fruitful and straightforward.

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Authors and Affiliations

  1. Department of Mathematics, University of Okara, Okara, Pakistan

    Hamood Ur Rehman

  2. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

    Naeem Ullah & M. A. Imran

Authors
  1. Hamood Ur Rehman
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  2. Naeem Ullah
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  3. M. A. Imran
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Correspondence to M. A. Imran.

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Rehman, H.U., Ullah, N. & Imran, M.A. Exact solutions of Kudryashov–Sinelshchikov equation using two analytical techniques . Eur. Phys. J. Plus 136, 647 (2021). https://doi.org/10.1140/epjp/s13360-021-01589-4

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01589-4

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