Thank you, Prof. Steven.
I've got some ideas about this problem: I see a small down movement of the 
branch of 
the dispersion diagram in the Kerr-nonlinear periodic structure. At this moment 
with 
(run-k-points...) method I just see this movement when the ampliude of the 
signal is not big 
enough. And when I started to simulate the structure without periodical 
boundary condition
I started to observe gap solitons, as you write in your letter. 
Now I tried to understand where is the scope of applicability of my simulation. 
Of course it is very important question as well.

Thank you,  
Alexandr.

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