Abstract
We investigate the properties of two-dimensional multipole solitons supported by the harmonic-Gaussian potential in a medium with competing cubic-quintic nonlinearity. The combined potential provides a shallow radial minimum for trapping solitons. We find that the multipole solitons with different power can propagate stably in some of the same parameter domains. Meanwhile, the solitons have multiple stable domains at the higher power, i.e., multi-stable multipole solitons. Linear stability analysis and numerical simulations show that the stability domain of solitons shrinks gradually with the increasing number of bright spots. Our findings suggest an alternative way for the realization of stable multipole solitons.
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