Cappadocia University

Comprehensive symbolic–neural and dynamical framework for the (3+1)-dimensional extended Kadomtsev–Petviashvili equation

This study investigates the (3+1)-dimensional extended Kadomtsev–Petviashvili equation using a symbolic–neural hybrid framework. First, the equation is transformed into its bilinear form, and the bilinear neural network method is employed to construct various analytical wave solu...