Modulation instability linear stability: eigenvalue via Courant-Fischer min-max principle

Layer 1 — Physicsin the nonlinear-photonics subtree

Modulation-instability linear-stability analysis via Courant-Fischer. Setup: nonlinear Schrodinger equation i*partial-t A + (beta_2/2)*partial_x^2 A + gamma*|A|^2*A = 0 with a uniform CW pump A_0 = sqrt(P). Linearising around A_0:…

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