Novel behavior and properties for the nonlinear pulse propagation in optical fibers
State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications - Beijing 100876, China
2 School of Science, Beijing University of Posts and Telecommunications - P. O. Box 122, Beijing 100876, China
Accepted: 21 November 2011
In an integrable generalization of the nonlinear Schrödinger equation for nonlinear pulse propagation in monomode optical fibers, certain higher-order nonlinear effects are taken into account. Hereby for such a model, our investigation focuses on the following aspects: a) modulation instability analysis of solutions in the presence of a small perturbation; b) derivation of the infinite conservation laws based on the Lax pair; c) soliton solutions obtained in virtue of the bilinear method with symbolic computation; d) asymptotic analysis and graphical illustration of the solitons. With different choices of the wave numbers in the two-soliton solutions, solitonic characteristics has been discussed. Finally a new type of soliton, namely the “earthwormon”, has been proposed in that the moving two-soliton structure looks like an earthworm in slice graphics.
PACS: 05.45.Yv – Solitons / 42.81.Dp – Propagation, scattering, and losses; solitons / 02.70.Wz – Symbolic computation (computer algebra)
© EPLA, 2012