Constructing the soliton wave structure and stability analysis to generalized Calogero–Bogoyavlenskii–Schiff equation using improved simple equation method

Authors

mina fahimFollow
Hamdy Mohamed Ahmed, higher institute of engineering, elsharouk academyFollow
Islam Samir soliman, ain shams university , faculty of engineeringFollow
mohamed elsaid, Faculty of Science, Islamic University, MadinahFollow
kamal hassan eldib, fayoum university, faculty of scienceFollow

Document Type

Article

Publication Date

Spring 5-15-2025

Abstract

In this work, we investigated the (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation, which models long wave propagation in shallow water and plays a significant role in fluid mechanics and plasma physics. Using the improved simple equations method, we obtained various solutions, including dark, bright, and singular solitons, and combinations of singular periodic solutions and exponential rational solutions. Additionally, we performed a linear stability analysis to examine the stability properties of these wave solutions. To further illustrate their characteristics during propagation, we provided 3D and contour plots for some opted wave solutions.

Recommended Citation

fahim, mina; Ahmed, Hamdy Mohamed; soliman, Islam Samir; elsaid, mohamed; and eldib, kamal hassan, "Constructing the soliton wave structure and stability analysis to generalized Calogero–Bogoyavlenskii–Schiff equation using improved simple equation method" (2025). Basic Science Engineering. 184.
https://buescholar.bue.edu.eg/basic_sci_eng/184