Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation

Document Type : Research Paper

Authors

1 Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt.

2 1. Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig University, Egypt.\\ 2. Basic Science Department, Faculty of Engineering, Delta University for Science and Technology, Gamasa, 11152, Egypt.

Abstract

One of the most important natural phenomena that has been studied extensively in engineering, oceanography,
meteorology, and other fields is called fluid turbulence (FT). FT stands for irregular flow of fluid. Scientists detected models to describe this phenomenon, among these models is the (3+1)-dimensional Vakhnenko-Parkes (VP) equation. In this research, the high-frequency waves’ dynamical behavior through the relaxation medium is explored by considering two semi-analytic methods, the $(G^'/G)$ and the tanh-coth (TC) expansion methods. Nineteen different solutions have been detected and some of these solutions have been illustrated graphically. Figures show a range of degenerate, periodic, and complex propagating soliton wave solutions. 

Keywords

Main Subjects

References

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Computational Methods for Differential Equations
Volume 13, Issue 2
March 2025
Pages 646-658

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History

  • Receive Date: 19 February 2024
  • Revise Date: 17 May 2024
  • Accept Date: 04 June 2024

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