title: Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation.
abstract: In this paper, using the Darboux transformation, we demonstrate the generation of first-order breather and higher-order rogue waves from a generalized nonlinear Schrödinger equation with several higher-order nonlinear effects representing femtosecond pulse propagation through nonlinear silica fiber. The same nonlinear evolution equation can also describe the soliton-type nonlinear excitations in classical Heisenberg spin chain. Such solutions have a parameter γ(1), denoting the strength of the higher-order effects. From the numerical plots of the rational solutions, the compression effects of the breather and rogue waves produced by γ(1) are discussed in detail.
authors.affiliation: Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, PR China.
authors.forename: L H
authors.initials: LH
authors.lastname: Wang
authors.forename: K
authors.initials: K
authors.lastname: Porsezian
authors.forename: J S
authors.initials: JS
authors.lastname: He
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008027:Light; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D012542:Scattering, Radiation; D012822:Silicon Dioxide / Q000737:chemistry*
chemical_list: D012822:Silicon Dioxide