Discovery of Quasi-Integrable Equations from traveling-wave data using
the Physics-Informed Neural Networks
Discovery of Quasi-Integrable Equations from traveling-wave data using
the Physics-Informed Neural Networks
Physics-Informed Neural Networks (PINNs) are used to study vortex solutions in the 2+1 dimensional nonlinear partial differential equations. These solutions include the regularized long-wave (RLW) equation and the Zakharov-Kuznetsov (ZK) equation, which are toy models of the geostrophic shallow water model in the planetary atmosphere. PINNs successfully solve these equations …