Dust acoustic nonlinearity of nonlinear mode in plasma to compute temporal and spatial results

Aziz Khan, Muhammad Sinan, Sumera Bibi, Kamal Shah, Manel Hleili, Bahaaeldin Abdalla, Thabet Abdeljawad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

Our manuscript is related to use Caputo fractional order derivative (CFOD) to investigate results of non-linear mode in plasma. We establish results for both temporal and spatial approximate solution. For the require results, we use reduction perturbation method (RPM) to find the analytical solution of the dust acoustic shock waves. Further, using the same technique we find the solitary wave potential and compared the solutions obtained with another very useful technique known as Homotopy perturbation method (HPM). The comparison of results for both approaches are more precise and agreed with the exact solution of the problem. Finally, we present graphical representation for different fractional order for both temporal and spatial approximate solution.

Original languageEnglish
Pages (from-to)115-123
Number of pages9
JournalAlexandria Engineering Journal
Volume104
DOIs
Publication statusPublished - Oct 2024
Externally publishedYes

Keywords

  • Approximate solution
  • Caputo derivative
  • Homotopy perturbation method
  • Reductive perturbation

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