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Line 86: ===Mathematical derivation of gain spectrum=== The gain spectrum can be derived <ref name="agrawal" /> by starting with a model of modulation instability based upon the [[nonlinear Schrödinger equation]]{{what\|reason=Time and space reversed?\|date=February 2024}} : <math>\frac{\partial A}{\partial z} + i\beta_2\frac{\partial^2A}{\partial t^2} = i\gamma\|A\|^2A,</math>

Modulational instability: Difference between revisions