The Nonlinear Schrödinger equation with dissipation and the moment method
V. M. Pérez-García, M. A. Porras, L. Vázquez
Physics Letters A, 202, 176-182 (1995).
MOLAB authors
The moment method is applied to study self-focusing and collapse of light beams in nonlinear media with losses. Approximate analytical expressions for collapse length and minimum losses avoiding collapse are found and compared to the exact ones obtained from numerical simulations of the nonlinear Schrödinger equation.