### Abstract

The dynamics of two coupled soliton solutions of the nonlinear Schrodinger equation with a saturable nonlinearity is investigated It is shown by means of a variational method and by direct numerical calculations that two well-separated solitons can orbit around each other, if their initial velocity is equal to a certain critical velocity. For initial velocities below and above this critical velocity the solitons merge and separate, respectively. The analytical calculations are based on the assumption of a large separation distance, and under this assumption numerical simulations confirm the main results. (C) 1998 Elsevier Science B.V.

Original language | English |
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Journal | Physics Letters A |

Volume | 246 |

Issue number | 5 |

Pages (from-to) | 423-428 |

ISSN | 0375-9601 |

DOIs | |

Publication status | Published - 1998 |

## Cite this

Schjødt-Eriksen, J., Schmidt, M. R., Juul Rasmussen, J., Christiansen, P. L., & Gaididei, Y. B. (1998). Two-beam interaction in saturable media.

*Physics Letters A*,*246*(5), 423-428. https://doi.org/10.1016/S0375-9601(98)00514-3