### Abstract

We consider quasiperiodic and periodic (cnoidal) wave solutions of a set of n-component vector nonlinear Schrödinger equations (VNLSEs). In a biased photorefractive crystal with a drift mechanism of nonlinear response and Kerr-type nonlinearity, n-component nonlinear Schrödinger equations can be used to model self-trapped mutually incoherent wave packets. These equations also model pulse-pulse interactions in wavelength-division-multiplexed channels of optical fiber transmission systems. Quasiperiodic wave solutions for the VNLSEs in terms of n-dimensional Kleinian functions are presented. Periodic solutions in terms of Hermite polynomials and generalized Hermite polynomials for n-component nonlinear Schrödinger equations are found.

Original language | English |
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Pages (from-to) | 8236-8248 |

Number of pages | 13 |

Journal | Journal of Mathematical Physics |

Volume | 41 |

Issue number | 12 |

DOIs | |

Publication status | Published - Dec 2000 |

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## Cite this

*Journal of Mathematical Physics*,

*41*(12), 8236-8248. https://doi.org/10.1063/1.1318733