CLASSIFICATION OF KINK TYPE SOLUTIONS TO THE EXTENDED DERIVATIVE NONLINEAR SCHRODINGER-EQUATION

The Raman Extended Derivative Non Linear Schrodinger (R-EDNLS) equatio n which models single mode propagation in optical fibers, is shown to possess travelling and stationary kink envelope solutions of monotonic and oscillatory type. These structures have been called optical shock s in analogy with hydrodynamical shocks or optical double layers in an alogy with electrostatic double layers in plasma physics. Hydrodynamic al equations for the action density and local wave number are derived and shock wave solutions of the Rankine-Hugionot type are constructed. They are consistent with the kink structures when excluding the nonge neric case that the kink envelope approaches zero in a nonmonotonic wa y.