The nonlinear Schrodinger-Airy system
R is a combination of the cubic NLS equation, the derivative cubic NLS equation, complex mKdV, and a cubic nonlinear Airy equation. This equation is a general model for propogation of pulses in an optical fiber Kod1985, HasKod1987
When , scaling is .When , scaling is \u20131/2.
LWP is known when . St1997d
For this is in Lau1997, Lau2001
The result is also known when is a time-dependent function [Cv2002], [CvLi2003]
For and or non-zero, the solution map is not .
When delta = epsilon = 0 LWP is known for s > -1/4 Cv2004
For the solution map is not C^3 [CvLi-p]