NLSE 1-soliton: Q = 2η, T = η³/3, V = −2η³/3, H = −η³/3 (exact integrability pins)

Layer 1 — Physicsin the ultrafast-physics subtree

Sympy-exact symbolic witness of the NLSE bright-soliton integrability invariants — the canonical conservation laws of Zakharov-Shabat inverse scattering. Setup: η, x sp-symbols positive-real. Soliton envelope u(x) = η·sech(η·x);…

Related concepts

NLSE bright soliton u = η sech(ηx) e^{iη²t/2}; inverse scattering → 1 discrete eigenvalue

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