### Abstract

We study, analytically, the discrete complex cubic-quintic Ginzburg-Landau (dCCQGL) equation with a non-local quintic term. We find a set of exact solutions which includes, as particular cases, bright and dark soliton solutions, constant magnitude solutions with phase shifts, periodic solutions in terms of elliptic Jacobi functions in general forms, and various particular periodic solutions.

Original language | English |
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Pages (from-to) | 231-240 |

Number of pages | 10 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 347 |

Issue number | 4-6 |

DOIs | |

Publication status | Published - 2005 Dec 5 |

### Keywords

- Complex Ginzburg-Landau equation
- Dissipative discrete solitons

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Maruno, K. I., Ankiewicz, A., & Akhmediev, N. (2005). Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*347*(4-6), 231-240. https://doi.org/10.1016/j.physleta.2005.08.028