@article{Fahim2025, 
author = {Mina M. Fahim and Hamdy M. Ahmed and K. A. Dib and M. Elsaid Ramadan and Islam Samir},
title = {Constructing the soliton wave structure and stability analysis to generalized Calogero–Bogoyavlenskii–Schiff equation using improved simple equation method},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {11052-11070},
keywords = {generalized Calogero-Bogoyavlenskii-Schiff equation, improved simple equation method, nonlinear partial differential equation (NLPDE), exact solution, stability analysis},
url = {https://www.sciopen.com/article/10.3934/math.2025501},
doi = {10.3934/math.2025501},
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.}
}