Research Article

The New Simulation of Quasiperiodic Wave, Periodic Wave, and Soliton Solutions of the KdV-mKdV Equation via a Deep Learning Method

Table 5

The soliton solution of the KdV-mKdV equation: relative final learned error estimations in the norm for different numbers of network layers and neurons per hidden layer.

LayersNeurons
20406080

29.314110e − 37.436345e − 32.595096e − 21.772005e − 2
49.154403e − 33.070442e − 39.465375e − 39.040695e − 3
61.120311e − 27.512318e − 36.778210e − 35.110427e − 3
88.747611e − 35.329763e − 38.411414e − 38.499836e − 3