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

Ken Ichi Maruno; Adrian Ankiewicz; Nail Akhmediev

doi:10.1016/j.physleta.2005.08.028

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

Ken Ichi Maruno^*, Adrian Ankiewicz, Nail Akhmediev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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	https://doi.org/10.1016/j.physleta.2005.08.028
Publication status	Published - 5 Dec 2005

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10.1016/j.physleta.2005.08.028

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title = "Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation",

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.",

keywords = "Complex Ginzburg-Landau equation, Dissipative discrete solitons",

author = "Maruno, \{Ken Ichi\} and Adrian Ankiewicz and Nail Akhmediev",

year = "2005",

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journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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TY - JOUR

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

AU - Maruno, Ken Ichi

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 - https://www.scopus.com/pages/publications/27744587739

U2 - 10.1016/j.physleta.2005.08.028

DO - 10.1016/j.physleta.2005.08.028

M3 - Article

SN - 0375-9601

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

IS - 4-6

ER -

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

Abstract

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