### Abstract

A systematic method is presented to construct multicomponent optical solitons for the system governed by the vector nonlinear Schrödinger equation. By solving the characteristic eigenvalue problem, we obtain a general n-component soliton solution in the presence of nonzero background fields. In the two-component case, we show that this general solution not only includes previously known soliton solutions, e.g., bright-bright, dark-bright, dark-dark pair solitons for self-focusing or self-defocusing media, but depending on the choice of parameters it also exhibits different types of soliton solution. In particular, we obtain a general dark-bright type solution in a self-focusing medium, which describes a breakup of a dark-bright pair into another dark-bright pair and an “oscillating” soliton, or the reverse fusing process. In the case of a self-defocusing medium, we generalize the previously known static dark-dark pair and show that a general dark-dark pair is non-static and oscillates periodically through exchanging energies between two components. It is shown that the static case arises when the complex soliton parameter is restricted to a pure imaginary number. We address about the criterion for testing singularity in a general solution in terms of solution parameters, and also about the non-Abelian [Formula Presented] symmetry of the system.

Original language | English |
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Pages (from-to) | 3093-3106 |

Number of pages | 14 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 61 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2000 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics