Limitation of Split-Step Fourier method

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SUMMARY

The Split-step Fourier method is a robust technique for solving nonlinear Schrödinger equations, including the Gross-Pitaevskii equation. Users Lam and Elif confirmed its effectiveness but expressed concerns regarding its applicability in all scenarios. They seek resources and algorithms for implementation in MATLAB, highlighting a gap in available documentation and code examples for this method.

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  • Understanding of nonlinear Schrödinger equations
  • Familiarity with the Split-step Fourier method
  • Proficiency in MATLAB programming
  • Knowledge of numerical methods for differential equations
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  • Research the implementation of the Split-step Fourier method in MATLAB
  • Explore academic papers on the application of the Split-step Fourier method to nonlinear Schrödinger equations
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Researchers, physicists, and engineers working on nonlinear wave equations, particularly those implementing numerical methods in MATLAB.

iamkitchai
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Hi,

I'm using the Split-step Fourier method for programming. I am going to use this method to solve a nonlinear Schrödinger equation with variable coefficients.

But before implement this method in Matlab, I would like to ask if this method always works in all siturations, and in what cases, this method can not be used.

Thanks,
Lam
 
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hi,
I also want to use split step Fourier method to solve gross-pitaevskii equation (nonlinear Schrödinger eq.). as well as I know it is the best method to solve this kind of equations.
But unfortunately I can't find any algorithm or a source code or something that gives a detailed information about this method. So I don't know how to implement this method.
Could you recommend me anything (paper, book, website etc.) about this? Or have you got any written code that you can send me?

Thanks,
Elif
 

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