Abstract

Solitons of the cubic Nonlinear Schrodinger Equation (NLSE) are probably the most studied solitons in nature. One of the reasons is the mathematical elegance and simplicity of this equation. But another more important reason is the vast number of physical systems that can be described by this equation. Single polarization envelope waves propagating in isotropic materials, when only the lowest order nonlinearity matters most often obey this equation. In optics, the cubic NLSE models temporal solitons in optical fibers, and low intensity solitons of all dimensions in any centrosymmetric media.

© 1999 Optical Society of America