Periodic–Kink, Lump, and Rogue Waves with Parameter Discovery in an Integrable Model: Bilinear and Physics-Informed Neural-Network Approaches
This research investigates nonlinear wave dynamics of the integrable (3+1)-dimensional extended Bogoyavlensky- Konopelchenko equation, which models the interaction of a Riemann wave and a long wave in fluid dynamics. The equation has important applications in the modeling of shallow water waves, ion acoustic waves, and...