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kemmy
science forum beginner

Joined: 19 Feb 2005
Posts: 12

Posted: Sat Jul 15, 2006 2:16 pm    Post subject: non-periodic boundaries in split-step fourier for NLS

Hello, I have a question regarding the split-step method. I will
appreciate
any answer/idea, I am trying to get this working for a while now.
Essentially what I need is to use split-step for perturbed NLS
(non-linear schrodinger) with double well potential on the real line.
So the equation that I am solving is one dimensional NLS

iu_t = u_{xx} + (|u|^2 + V(x))u + i\epsilon*exp(i*\Omega*t)

where V(x) is the double well potential and the last term on the right
is the perturbation.

My questions are:

1) How to use split-step for the perturbed system and different
potentials?

2) Also, I need to modify split step to support
transparent/absorbing/unbounded boundary conditions. How do I do that?

Thank you very much for your help and time.
-kem
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