A deep learning method for solving third-order nonlinear evolution equations

Jun Li(李军),Yong Chen(陈勇)

Figure 9. The soliton fusion phenomenon of the STO equation. Top: a solution to the STO equation (left panel) is compared to the predicted solution to the learned equation. The model correctly exhibits the dynamics behavior and accurately reproduces the solution with a relative ${{\mathbb{L}}}_{2}$ error of 1.61 × 10−2 . Middle: the comparison of the predicted solutions and exact solutions is presented. Bottom: the comparison of the corresponding predicted solutions and exact solutions of the potential −u x is also given.