@article{Kamel2026, 
author = {Noha M. Kamel and Hamdy M. Ahmed and Wafaa B. Rabie},
title = {Novel solutions and stability analysis for the (3+1)-dimensional B-type Kadomtsev–Petviashvili equation using an improved generalized Riccati equation mapping technique},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {20956-20985},
keywords = {(3+1)-dimensional B-type Kadomtsev–Petviashvili equation, improved generalized Riccati equation mapping technique, stability analysis, graphical illustrations},
url = {https://www.sciopen.com/article/10.3934/math.2026851},
doi = {10.3934/math.2026851},
abstract = {This study retrieved novel abundant exact solutions for the (3+1)-dimensional B-type Kadomtsev–Petviashvili equation using the improved generalized Riccati equation mapping technique. The B-type Kadomtsev–Petviashvili equation is of high importance in modeling nonlinear wave propagation in weakly dispersive media in fluid dynamics and plasmas. The derived solutions included singular, bright, and bright-dark solitons, as well as hyperbolic, rational, exponential, and singular periodic solutions. The validation of the derived solutions was confirmed by direct substitution into the B-type Kadomtsev–Petviashvili equation under study. A detailed stability analysis was performed utilizing the linear stability analysis concept. The obtained stability results indicated the presence of neutral stability and the non-existence of modulation instability for any choice of the system parameters. The wave dynamics of some derived exact solutions are illustrated by two-dimensional, three-dimensional, and density plot graphics. Additionally, the results of stability analysis are illustrated by two-dimensional and three-dimensional graphics.}
}