On Solving the Kudryashov-Sinelshchikov Equation for Pressure Waves inGas-Liquid Mixtures

Authors

  • Turgut Ak Department of Basic Sciences, Turkish Air Force Academy, National Defence University, 34149 Istanbul, Turkiye
  • Sharanjeet Dhawan Department of Mathematics, College of Agriculture, Chaudhary Charan Singh Haryana Agricultural University, 123501 Haryana, India

Abstract

In this work, our focus is on obtaining approximate analytic solutions for the Kudryashov-Sinelshchikov equation using the reduced differential transform method. This equation describes nonlinear waves in gas-liquid mixtures, with a specific emphasis on the impact of heat transfer and viscosity. The results present a theoretical basis of the numerical scheme and manifest its efficiency with different types of numerical examples, from solitary wave solutions to the soliton wave solutions as well as to the rational soliton solutions. This proposed scheme is backed by the calculated absolute error norms and illustrated results and is proven to be efficient in solving both linear and nonlinear problems of similar natures.

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Published

2024-06-02

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Articles

How to Cite

On Solving the Kudryashov-Sinelshchikov Equation for Pressure Waves inGas-Liquid Mixtures. (2024). Punjab University Journal of Mathematics, 56(6), 276-294. https://pujm.pu.edu.pk/index.php/pujm/article/view/150