Computational Intelligence and Neuroscience

Research Article

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

Table 1

The quasiperiodic wave 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
23.602283e − 21.466837e − 21.780898e − 21.560210e − 2
49.527266e − 38.251322e − 37.880803e − 38.563890e − 3
68.885163e − 38.344743e − 38.318624e − 38.183045e − 3
89.012644e − 38.507917e − 38.578885e − 38.395397e − 3