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How to specify a model of superposing 8 wave funtion with the max wavelenght and amplitude?

I have 8 different waves with different amlitudes and different wavelenghts. My difficulty is to specify a mathematical model which defines the superposition of this 8 wave in the way of having maximum amlitude and maximum lenght. I am not a physicist and I have some difficulties in mathematical demonstration. If you could help me, I would be appreciated Best,

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