### Abstract

We demonstrate analytically that the effective potential of interaction between widely separated solitons in a damped, ac-driven nonlinear Schrödinger equation is oscillatory at large distances. We show numerically that two solitons in the system attract each other if the initial distance between them is smaller than a certain critical value; consequently, they will either form an oscillatory bound state with a finite lifetime, collapse to a stable single soliton state, or decay to the rotating background. If the initial separation is greater than the critical value, they separate to form a stable bound state at a second critical distance. The critical distances are in good agreement with the analytical prediction.

Original language | English (US) |
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Pages (from-to) | 1677-1679 |

Number of pages | 3 |

Journal | Physical Review E |

Volume | 49 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1994 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review E*,

*49*(2), 1677-1679. https://doi.org/10.1103/PhysRevE.49.1677