The nonlinear Schrodinger-Airy system
on 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 propagation of pulses in an optical fiber Kod1985, HasKod1987.
When , scaling is .When , scaling is -1/2.
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 LWP is known for Cv2004
For the solution map is not CvLi-p