We put forward a mechanism for tailoring, and even arresting, the collapse of wave packets in nonlinear media, whose dynamics is governed by nonlocal two-dimensional nonlinear Schrödinger-like equations. The key ingredient of the scheme is the self-generation of nonlocal nonlinearities mediated by wave rectification.
Crasovan, L., Juan P. Torres, Mihalache, D., Torner, L. Arresting wave collapse by wave self-rectification. "Physical review letters", Agost 2003, vol. 91, núm. 6, p. 63904-63907.