Yb. Gaididei et al., STATIONARY STATES OF THE 2-DIMENSIONAL NONLINEAR SCHRODINGER MODEL WITH DISORDER, Physical review. B, Condensed matter, 58(6), 1998, pp. 3075-3081
Solitonlike excitations in the presence of disorder in the two-dimensi
onal cubic nonlinear Schrodinger equation are analyzed. The continuum
as well as the discrete problem are analyzed. In the continuum model,
otherwise unstable excitations are stabilized in the presence of disor
der. In the discrete model, the disorder is found to leave the narrow
excitations unaffected. Our results suggest that the disorder provides
a possibility to control the spatial extent of the stable excitations
in the continuum system.