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
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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 -