Fig. 3: Nonlinear optical pulse propagation.
From: Learning dominant physical processes with data-driven balance models
The governing equations are derived from Maxwell’s equations in 1D with a nonlinear time-delayed polarization response. Soliton propagation is understood to be maintained primarily by a balance between low-order dispersion and the cubic Kerr nonlinearity (delta-function component of the right-hand side integral)31. Although most of the field is identified with various linear dispersion relations, the strongest soliton is associated with cubic nonlinearity and dispersive terms through fourth order.
