Journal of Applied Nonlinear Dynamics 15(3) (2026) 707--721 | DOI:10.5890/JAND.2026.09.013

Mohammed H. Ali$^{1}$, Hamdy M. Ahmed$^{2}$, Wafaa B. Rabie$^{3}$

$^1$ Department of Basic Science, Higher Institute of Computer Science and Information Systems, Fifth Settlement, Cairo, Egypt

$^2$ Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, Cairo, Egypt

$^3$ Department of Mathematics, Faculty of Science Luxor University, Taiba, Luxor, Egypt

Abstract

This work conducts a detailed exploration of exact wave solutions for higher-dimensional Boussinseq-Kadomtsev-Petviashvili (KP) model. By utilizing the improved modified extended tanh-function (IMETF) technique, we derive analytical solutions to the governing equation which describes the wave propagation in fluid dynamics. These solutions include dark, bright, and combined bright-dark solitons, as well as rational, exponential, singular periodic, Jacobi elliptic, and Weierstrass elliptic doubly periodic solutions. Graphical representations are provided to highlight the physical characteristics of the results.

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