NLSE bright soliton area theorem: P_0 T_0² = |β_2|/γ exactly for N=1 fundamental

Fundamental bright-soliton area theorem. Given the non-linear Schrödinger equation i·∂A/∂z − (β_2/2)·∂²A/∂t² + γ|A|²A = 0 with β_2 < 0, γ > 0, the N-soliton-parameter N = √(γ P_0 T_0² / |β_2|) labels the family of soliton-like solutions. …