Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality

Details Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality Analytical theory for dark soliton interaction in nonlocal nonlinear materials with arbitrary degree of nonlocality

2010-05-27

arxiv.org/abs/1005.4971v1

Nonlinear Sciences

Pattern Formation and Solitons

submitted for publication

Scientific paper

We investigate theoretically the interaction of dark solitons in materials
with a spatially nonlocal nonlinearity. In particular we do this analytically
and for arbitrary degree of nonlocality. We employ the variational technique to
show that nonlocality induces an attractive force in the otherwise repulsive
soliton interaction.

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