Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation.

(Received 11 January 2013; revised manuscript received 20 April 2013; published 30 May 2013; corrected 11 June 2013)In this paper, using the Darboux transformation, we demonstrate the generation of first-order breather andhigher-orderroguewavesfromageneralizednonlinearSchrodingerequationwithseveralhigher-ordernonlinear¨effects representing femtosecond pulse propagation through nonlinear silica fiber. The same nonlinear evolutionequationcanalsodescribethesoliton-typenonlinearexcitationsinclassicalHeisenbergspinchain.Suchsolutionshave a parameter