Emmanuel E. Oguadimma

Structure-Preserving Physics-Informed Neural Network for the Korteweg-de Vries (KdV) Equation

A structure-preserving PINN framework for the nonlinear KdV equation, a prototypical model for nonlinear and dispersive wave propagation, that embeds the conservation of mass and Hamiltonian energy directly into the loss function, ensuring physically consistent and energy-stable evolution throughout training and prediction.