How to Implement Constant C in the Split Step Fourier Method for NLS Equations?

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SUMMARY

The discussion focuses on implementing the constant C in the split step Fourier method for nonlinear Schrödinger (NLS) equations, specifically the equation iAt + Axx + |A|^2A + C = 0. Participants highlight the challenge of incorporating the constant C, as it does not directly multiply A, making its placement in either the linear or nonlinear components ambiguous. The consensus is that while the constant C is crucial, its specific location in the method may not significantly affect the overall solution.

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hanson
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Hi all.
I am studying the use of split step Fourier method to solve NLS-typed equations.
One problem is that, for this type of equations:
iAt+Axx+|A|^2A+C=0, where C is a constant
How shall I implement the split step Fourier method?
I find no where to put my constant C because it is not multiplied with A, so I can't really put it in the linear or nonlinear part, is it?
Any idea? Thanks
 
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because its a constant, it shouldn't really matter where you put it. ie. in the linear or nonlinear part.

thats at least my understanding...
 

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