Fig. 7: Overview of methods.

a Schematic drawing of the wave tank. For waves Categories I and II experiment the wave tank was 40 m long, 2.7 m wide, with a water depth of 0.80 m. A total of 12 wave gauges were placed at ~3 m distances along the center-line of the tank, starting 3.7 m from the wavemaker (red). For wave Category III, the wave tank was 30 m long, 1 m wide, with a water depth of 0.70 m. A total of 24 wave gauge positions were placed 0.83 m apart, starting at 3.0 m from the wavemaker. b For the infinitesimal-domain method, access is needed to the complex envelope at each solver step, to serve as the initial condition for the MNLS. c For the finite-domain method the complex envelope is only needed at the wave gauge positions, and only the absolute value of the envelope is needed at each solver step. d When given a (complex) initial condition, the MNLS solver can predict the evolution for an arbitrary propagation distance. The two separate RNNs then independently provide corrections to the spectral evolution and the physical-space evolution, respectively.