Modulation instability, bifurcation analysis, and ion-acoustic wave solutions of generalized perturbed KdV equation with M-fractional derivative

Abstract The perturbed Korteweg-de Vries (PKdV) equation is essential for describing ion-acoustic waves in plasma physics, accounting for higher-order effects such as electron temperature variations and magnetic field influences, which impact their propagation and stability. This work looks at the g...

Full description

Bibliographic Details

Published in:	Scientific Reports
Main Authors:	Mohammed Kbiri Alaoui, Md. Mamunur Roshid, Mahtab Uddin, Wen-Xiu Ma, Harun-Or-Roshid, Mohammod Jahirul Haque Munshi
Format:	Article
Language:	English
Published:	Nature Portfolio 2025-04-01
Subjects:	Modified simple equation technique Generalized perturbed Korteweg-de Vries equation Bifurcation theory Phase portrait Soliton solution Clean energy technologies
Online Access:	https://doi.org/10.1038/s41598-024-84941-9