A study on analytical solutions of one of the important shallow water wave equations and its stability analysis

Deniz H. A., ÖZKAN E. M., ÖZKAN A.

Physica Scripta, cilt.99, sa.12, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 99 Sayı: 12
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1088/1402-4896/ad88b7
  • Dergi Adı: Physica Scripta
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: beta derivative, integro differential equation, KP hierarchy equation, modified w/g-expansion method, stability analysis
  • Marmara Üniversitesi Adresli: Hayır

Özet

The present research uses the modified w g -expansion technique to give analytical solutions for the nonlinear time fractional integro-differential Kadomtsev-Petviashvili (KP) hierarchy equation with beta fractional derivative. The modified w g -expansion technique is an important method for finding analytical solutions to nonlinear equations. The suggested approach produces three sorts of solutions: trigonometric, hyperbolic, and rational. These answers have been discovered with the aid of a software tool. Additionally, stability analysis of observed governing model solutions is used to validate scientific calculations. Furthermore, the 3-dimensional, contour, and 2-dimensional images are provided for a better understanding of the behavior of the solutions.