Similarity Solutions and Collapse in the Attractive Gross-Pitaevskii Equation

Andrei Rybin, Gennadii Varzugin, Markus Lindberg +2

We analyse a generalised Gross-Pitaevskii equation involving a paraboloidal trap potential in $D$ space dimensions and generalised to a nonlinearity of order $2n+1$. For {\em attra…