Internal dynamics of a vector soliton in a nonlinear optical fiber

D. J. Kaup*, Boris A. Malomed, Richard S. Tasgal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze the dynamics of a vector soliton governed by a nearly integrable system of coupled nonlinear Schrödinger equations. Inserting a Gaussian ansatz into the Lagrangian density, we derive a system of ordinary differential equations for the evolution of the ansatz parameters. We find a continuous family of stationary solutions to these equations which can be interpreted as vector solitons with an arbitrary polarization. Examining small internal vibrations of the vector soliton, we find three eigenmodes, of which only two were previously known. The additional internal oscillation eigenmode gives rise to antisymmetric oscillations of the symmetric soliton (45°polarization). We also find the small-vibration eigenmodes for arbitrary polarization, though in an implicit form. Additionally, we find a threshold value of the relative velocity of the two polarizations that leads to splitting of the vector soliton for arbitrary polarization.

Original languageEnglish
Pages (from-to)3049-3053
Number of pages5
JournalPhysical Review E
Volume48
Issue number4
DOIs
StatePublished - 1993

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