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- Title
Noval soliton solution, sensitivity and stability analysis to the fractional gKdV-ZK equation.
- Authors
Shakeel, Muhammad; Zafar, Asim; Alameri, Abdu; Junaid U Rehman, Muhammad; Awrejcewicz, Jan; Umer, Muhammad; Zahid, Muhammad; Sooppy Nisar, Kottakkaran
- Abstract
This work examines the fractional generalized Korteweg-de-Vries-Zakharov-Kuznetsov equation (gKdV-ZKe) by utilizing three well-known analytical methods, the modified G ′ G 2 -expansion method, 1 G ′ -expansion method and the Kudryashov method. The gKdV-ZK equation is a nonlinear model describing the influence of magnetic field on weak ion-acoustic waves in plasma made up of cool and hot electrons. The kink, singular, anti-kink, periodic, and bright soliton solutions are observed. The effect of the fractional parameter on wave shapes have been analyzed by displaying various graphs for fractional-order values of β . In addition, we utilize the Hamiltonian property to observe the stability of the attained solution and Galilean transformation for sensitivity analysis. The suggested methods can also be utilized to evaluate the nonlinear models that are being developed in a variety of scientific and technological fields, such as plasma physics. Findings show the effectiveness simplicity, and generalizability of the chosen computational approach, even when applied to complex models.
- Subjects
SENSITIVITY analysis; HOT carriers; PLASMA waves; PLASMA physics; MAGNETIC fields; SOLITONS; ION acoustic waves; QUANTUM plasmas
- Publication
Scientific Reports, 2024, Vol 14, Issue 1, p1
- ISSN
2045-2322
- Publication type
Article
- DOI
10.1038/s41598-024-51577-8