EXACT SOLUTIONS OF TWO HIGH ORDER DERIVATIVE NONLINEAR SCHRÖDINGER EQUATIONS: DYNAMICAL SYSTEM METHOD

For two generalization models of the first type derivative nonlinear Schrödinger (DNLSI) equation and the second type derivative nonlinear Schrödinger (DNLSII) equation, by using the method of dynamical systems to investigate the existence of exact explicit solutions with the form $ q(x,t)=\phi(\xi)\exp{[i(\kappa x-\omega t+\theta(\xi))]}, \xi=x-ct. $ This paper show that in some given parameter conditions, explicit exact parametric representations of $ \phi(\xi)$ and $\theta(\xi) $ can be given.