Split Stepo Fourier Method

This project is using SSFM implementation by: Algorithm-Archive on Python 3.7.5 64bit

It adds initialization variables and a cool graphics for analyze different views

Getting Started

You just need to copy the project to your machine for testing

Prerequisites

Just type as following:

pip install numpy
pip install matplotlib

Execution

The default equation is

with initial condition:

Equation changing

You can change equations by defining your Linear and nonlinear part In this case:

Linear part

And is located on this line, where $k^2$ is the fourier transformation of the derivative

opr.K = np.exp(-0.5 * (par.k ** 2) * par.dt * 1j)

If you want to compute:

The new nonlinear part will be:

And the changes must be like

opr.K = np.exp(-0.5 * (par.k ** 2 - 1j*par.k) * par.dt * 1j)

Nonlinear Part

Nonlinear changes are of the form:

and its implementation is located on

opr.V = 0.5 * (par.x - voffset) ** 2

If you want to compute:

you just need to change:

opr.V =   np.abs((opr.wfc)) ** 2

Visualization

Two panel will show the solution allowing to see it on different perspectives

License

This project is licensed under the MIT License - see the LICENSE.md file for details