  We address the existence and properties of one-dimensional solitons
maintained by localized parameter gain in focusing and defocusing lossy
nonlinear media. Localized parametric gain supports both fundamental and
multipole solitons. We found that the family of fundamental solitons is partly
stable in focusing nonlinear medium, and completely stable in defocusing
medium, while all higher-order solitons are unstable. In addition to numerical
results, the existence threshold for the solitons, and a particular stable
exact solution are obtained in an exact analytical form.
