Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger Equation
Exactly Solvable and Integrable Systems
2013-06-06 v3 Mathematical Physics
math.MP
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 Schr\"odinger equation with several higher-order nonlinear effects representing femtosecond pulse propagation through nonlinear silica fiber. The same nonlinear evolution equation can also describes the soliton-type nonlinear excitations in classical Heisenberg spin chain. Such solutions have a parameter , 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 are discussed in detail.
Keywords
Cite
@article{arxiv.1304.8085,
title = {Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger Equation},
author = {L. H. Wang and K. Porsezian and J. S. He},
journal= {arXiv preprint arXiv:1304.8085},
year = {2013}
}
Comments
20 pages, 7 figures. Several wrong values of $gamma_1$ are corrected