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Hard Maths
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Homework Statement
I have written a working program that can obtain a numerical solution to the nonlinear Schrodinger equation, given at initial pulse, using the split-step Fourier method.
I have performed the first task of writing a working programme and have shown that if the initial pulse is sech(x) then there is no change over time and if i try 3sech(x) then the pulse changes but returns to the initial profile at t=pi/2.
Below is the next stage of the project,
The Attempt at a Solution
I have tried first and 3rd point and obtained results, but nothing i can really write a project on.
I have a pile of books on solitons, i have spent days researching on the internet and i still have no good ideas that will make for a decent project, i really need some help on this.