Here, the spatial dynamics associated with the Wadati ODE system ( 35) reduces to −8µρ − 4A ≈ 4w(x)m(x), m ′(x) = −w(x)ρ′(x), (71) at leading order

Resonant homoclinics in the large |µ| regime A regime of particular interest, due to its analytical tractability, is that of the large propagation constant, |µ| = ρ0 + u2 0/2 ≫ 1