Mixed structures of optical breather and rogue wave for a variable coefficient inhomogeneous fiber system

摘要

Breathers and rogue waves are two special types of soliton and play significant role in optical fibers. In this work, the mixed breather and rogue wave solution is constructed for a variable coefficient inhomogeneous fiber system via the Darboux transformation method. The impacts on the mixed wave of the first- and second-order group velocity dispersions (GVD), are discussed, respectively. The spectral eigenvalue parameter control is also studied. The pulse wave width, amplitude and wave density can be controlled by the variable GVD functions and spectral eigenvalue parameter. Especially, two types of rogue wave solutions can be derived from the mixed solution.