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

DOI10.1016/J.PHYSLETA.2005.08.028zbMath1195.35028OpenAlexW2138106816MaRDI QIDQ1957400

Nail N. Akhmediev, Ken-Ichi Maruno, Adrian Ankiewicz

Publication date: 27 September 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.08.028

zbMATH Keywords

complex Ginzburg-Landau equationdissipative discrete solitons

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Soliton equations (35Q51)

Related Items (3)

Dissipative localised structures for the complex discrete Ginzburg-Landau equation ⋮ On homoclinic solutions of a semilinear \(p\)-Laplacian difference equation with periodic coefficients ⋮ Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence

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• Exact solution of a difference approximation to Duffing's equation
• A Nonlinear Difference Scheme and Inverse Scattering
• Exact Phase Solutions of Nonlinear Oscillators on Two-dimensional Lattice

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