New dynamical analysis of the exact traveling wave solutions to a (3+1)-dimensional Gardner-KP equation by three efficient architecture

ÇELİK N., Tetik D.

Chaos, Solitons and Fractals, vol.179, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 179
  • Publication Date: 2024
  • Doi Number: 10.1016/j.chaos.2023.114444
  • Journal Name: Chaos, Solitons and Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, zbMATH
  • Keywords: Exact solution, Gardner-KP equation, Stability property, [Formula presented] method
  • Bursa Uludag University Affiliated: Yes

Abstract

In this research article, the (3 + 1) dimensional nonlinear Gardner- Kadomtsov–Petviashvili (Gardner-KP) equation, demonstrating the nonlinear modulation of periodic waves, has been analyzed using [Formula presented] methods and a large number of traveling wave solutions have been generated. These solutions exhibit structures with physical properties of hyperbolic, trigonometric, and rational solution types. Numerical simulations were performed for the obtained solutions at different values of the parameters. The stability property of the obtained solutions was tested to demonstrate their reliability. Our novelty in this study lies in obtaining distinct and enriched solutions compared to existing literature, conducting a comparative analysis of three methods, and investigating the stability property of solutions for the Gardner-KP equation, which has not been explored in the existing literature.