### 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 |
---|---|

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 |

Externally published | Yes |

### Fingerprint

### Keywords

- Complex Ginzburg-Landau equation
- Dissipative discrete solitons

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*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

**Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation.** / Maruno, Kenichi; Ankiewicz, Adrian; Akhmediev, Nail.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 347, no. 4-6, pp. 231-240. https://doi.org/10.1016/j.physleta.2005.08.028

}

TY - JOUR

T1 - Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation

AU - Maruno, Kenichi

AU - Ankiewicz, Adrian

AU - Akhmediev, Nail

PY - 2005/12/5

Y1 - 2005/12/5

N2 - 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.

AB - 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.

KW - Complex Ginzburg-Landau equation

KW - Dissipative discrete solitons

UR - http://www.scopus.com/inward/record.url?scp=27744587739&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=27744587739&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2005.08.028

DO - 10.1016/j.physleta.2005.08.028

M3 - Article

AN - SCOPUS:27744587739

VL - 347

SP - 231

EP - 240

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4-6

ER -