Two-dimensional cnoidal waves in saturable nonlinear medium

摘要

We report theoretically the existence, classification and basic properties of families of stationary two-dimensional cnoidal-type waves in bulk Kerr-type saturable nonlinear media. This is the first known example of families of two-dimensional cnoidal-type wave solutions, which in addition are shown to exhibit richer features than their known one-dimensional counterparts. At low and high energy flows the cnoidal patterns are predicted to be robust enough to be observable experimentally.