Rogue wave solutions for the coupled cubic-quintic nonlinear Schrodinger equations in nonlinear optics

A generalized Darboux transformation for the coupled cubic-quintic nonlinear Schrodinger equation is constructed by the Darboux matrix method. As applications, the Nth-order rogue wave solutions of the coupled cubic-quintic nonlinear Schrodinger equation have been obtained. In particular, the dynamics of the general first- and second-order rogue waves are discussed and illustrated through some figures. (C) 2013 Elsevier B.V. All rights reserved.