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Nonlinear Schrödinger equation
Layer 1 — Physics
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nonlinear-dynamics
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i∂_tψ + ½∂_x²ψ + |ψ|²ψ = 0; integrable; bright/dark solitons; models BEC dynamics, optical fibers.
Related concepts
Integrable systems & Lax pairs
NLSE bright soliton area theorem: P_0 T_0² = |β_2|/γ exactly for N=1 fundamental
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