### 抄録

We consider the model of fiber-laser cavities near the zero-dispersion point, based on the complex Ginzburg–Landau equation with the cubic-quintic nonlinearity and third-order dispersion (TOD) term. It is known that this model supports stable dissipative solitons. We demonstrate that the same model gives rise to several specific families of robust bound states of solitons. There are both stationary and dynamical bound states, with constant or oscillating separation between the bound solitons. Stationary states are multistable, corresponding to different values of the separation. Following the increase of the TOD coefficient, the stationary bound state with the smallest separation gives rise to the oscillatory one through the Hopf bifurcation. Further growth of TOD leads to a bifurcation transforming the oscillatory bound state into a chaotically oscillating one. Families of multistable three- and four-soliton complexes are found too, the ones with the smallest separation between the solitons again ending by the transition to oscillatory states through the Hopf bifurcation.

元の言語 | 英語 |
---|---|

ページ（範囲） | 2688-2691 |

ページ数 | 4 |

ジャーナル | Optics Letters |

巻 | 43 |

発行部数 | 11 |

DOI | |

出版物ステータス | 出版済み - 6 1 2018 |

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### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics

### これを引用

*Optics Letters*,

*43*(11), 2688-2691. https://doi.org/10.1364/OL.43.002688

**Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion.** / Sakaguchi, Hidetsugu; Skryabin, Dmitry V.; Malomed, Boris A.

研究成果: ジャーナルへの寄稿 › 記事

*Optics Letters*, 巻. 43, 番号 11, pp. 2688-2691. https://doi.org/10.1364/OL.43.002688

}

TY - JOUR

T1 - Stationary and oscillatory bound states of dissipative solitons created by third-order dispersion

AU - Sakaguchi, Hidetsugu

AU - Skryabin, Dmitry V.

AU - Malomed, Boris A.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - We consider the model of fiber-laser cavities near the zero-dispersion point, based on the complex Ginzburg–Landau equation with the cubic-quintic nonlinearity and third-order dispersion (TOD) term. It is known that this model supports stable dissipative solitons. We demonstrate that the same model gives rise to several specific families of robust bound states of solitons. There are both stationary and dynamical bound states, with constant or oscillating separation between the bound solitons. Stationary states are multistable, corresponding to different values of the separation. Following the increase of the TOD coefficient, the stationary bound state with the smallest separation gives rise to the oscillatory one through the Hopf bifurcation. Further growth of TOD leads to a bifurcation transforming the oscillatory bound state into a chaotically oscillating one. Families of multistable three- and four-soliton complexes are found too, the ones with the smallest separation between the solitons again ending by the transition to oscillatory states through the Hopf bifurcation.

AB - We consider the model of fiber-laser cavities near the zero-dispersion point, based on the complex Ginzburg–Landau equation with the cubic-quintic nonlinearity and third-order dispersion (TOD) term. It is known that this model supports stable dissipative solitons. We demonstrate that the same model gives rise to several specific families of robust bound states of solitons. There are both stationary and dynamical bound states, with constant or oscillating separation between the bound solitons. Stationary states are multistable, corresponding to different values of the separation. Following the increase of the TOD coefficient, the stationary bound state with the smallest separation gives rise to the oscillatory one through the Hopf bifurcation. Further growth of TOD leads to a bifurcation transforming the oscillatory bound state into a chaotically oscillating one. Families of multistable three- and four-soliton complexes are found too, the ones with the smallest separation between the solitons again ending by the transition to oscillatory states through the Hopf bifurcation.

UR - http://www.scopus.com/inward/record.url?scp=85047986074&partnerID=8YFLogxK

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U2 - 10.1364/OL.43.002688

DO - 10.1364/OL.43.002688

M3 - Article

AN - SCOPUS:85047986074

VL - 43

SP - 2688

EP - 2691

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 11

ER -