  If dark matter particles self-interact, their capture by astrophysical
objects should be enhanced. As a consequence, the rate by which they annihilate
at the center of the object will increase. If their self scattering is strong,
it can be observed indirectly through an enhancement of the flux of their
annihilation products. Here we investigate the effect of self-interaction on
the neutrino flux produced by annihilating dark matter in the center of the
Sun. We consider annihilation into two channels: $W^+W^-$ (or $\tau^+\tau^-$
for a dark matter mass below the $W$ mass) and $b\overline{b}$. We estimate the
event rate in the IceCube detector, using its 79 string configuration, and
compare our prediction to their experimental results, hence probing dark matter
self interacting models.
