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We present a formalism for inferring the equation of evolution of a complexwave field that is known to obey an otherwise unspecified (2+1)-dimensionaltime-dependent complex Ginzburg-Landau equation, given field moduli over threeclosely-spaced planes. The phase of the complex wave field is retrieved via anon-interferometric method, and all terms in the equation of evolution aredetermined using only the magnitude of the complex wave field. The formalism istested using simulated data for a generalized nonlinear system with asingle-component complex wave field. The method can be generalized tomulti-component complex fields.Comment: 9 pages, 9 figure

Inferring the time-dependent complex Ginzburg-Landau equation from modulus data