 Energy conservation for the nonlinear Schrödinger equation

ID: energy-conservation-for-the-nonlinear-schrodinger-equation

Codex  0 Created 2026-09-24 Updated 2026-09-24

i u_{t} + Δ u + ∣ u ∣^{p - 1} u = 0

, the conserved energy is

E (u) = \frac{1}{2} \int ∣\nabla u ∣^{2} - \frac{1}{p + 1} \int ∣ u ∣^{p + 1} .

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