Soliton interaction in logarithmically saturable media
Journal article, 2009
An analysis, based on the variational approach, is carried out of the interaction between two fully coherent
solitons as well as two partially coherent soliton stripes in a medium with logarithmic nonlinearity.
For the coherent case, it is found that the interaction can be both attractive and repulsive depending on
the relative phase. The different interaction scenarios involve a bound system where the distance
between the solitons oscillates with various magnitude of the oscillation amplitude, including total coalescence,
and another where the solitons separate asymptotically. The effect of partial coherence on the
soliton interaction is also studied by analyzing the interaction between two partially coherent soliton
stripes. It is found that the strength as well as the character (attractive/repulsive) of the interaction
changes for decreasing coherence. Thus, the general interaction properties of solitons in logarithmic nonlinear
media are qualitatively similar to those of solitons in nonlinear Kerr media.