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My question is "What is the relationship between nonlinearity and dispersion?"

I know that all materials are dispersive in nature, but keeping that aside for a moment and thinking of an ideal material, can I have a nonlinear (2nd order to be exact) material which is nondispersive? (Refractive index does not change with frequency)?

Iv been trying to implement such a material in a simulator, but I am not getting any second order nonlinear interactions such as SHG or OR when I use this material. The same simulation with dispersive materials gives SHG and OR.

Can some one please tell me the reason for this? Thank you very very much.