TY - JOUR

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

AU - Maruno, Ken Ichi

AU - Ankiewicz, Adrian

AU - Akhmediev, Nail

N1 - Funding Information:
K.M. acknowledges support from the 21st Century COE program “Development of Dynamic Mathematics with High Functionality” at Faculty of Mathematics, Kyushu University. N.A. and A.A. acknowledge support from the Australian Research Council.

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

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 -