Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger Equation    [PDF]

L. H. Wang, K. Porsezian, J. S. He
In this paper, using the Darboux transformation, we demonstrate the generation of first order breather and higher order rogue waves from a generalized nonlinear Schr\"odinger equation with several higher order nonlinear effects representing femtosecond pulse propagation through nonlinear silica fibre. The same nonlinear evolution equation can also describes the soliton type nonlinear excitations in classical Heisenberg spin chain. Such solutions have a parameter $\gamma_1$ 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 $\gamma_1$ are discussed in detail.
View original: http://arxiv.org/abs/1304.8085