@article{3066546, title = "Motion of 2D Schrödinger solitary waves in the presence of random external potentials", author = "Yannacopoulos, A.N. and Frantzeskakis, D.J. and Polymilis, C. and Hizanidis, K.", journal = "Physica Scripta", year = "2002", volume = "65", number = "4", pages = "363-368", issn = "0031-8949, 1402-4896", doi = "10.1238/Physica.Regular.065a00363", abstract = "The trapping of 2D localised solutions that may exist for a generalised (2 + 1)-dimensional nonlinear Schrödinger equation with a random external potential is analysed. The method used is based on the stability properties of a system of stochastic ODEs describing the motion of the soliton center. The model has a wide range of applications including nonlinear optics and Bose-Einstein condensation." }