Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification

DOI10.1016/S0375-9601(02)01510-4zbMath1005.70022OpenAlexW2073507468MaRDI QIDQ1851358

A. A. Abdumalikov, F. Kh. Abdullaev, B. A. Umarov

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)01510-4

zbMATH Keywords

perturbation theorylinear dampingAblowitz-Ladik chaincubic amplificationdiscrete analog of filterdiscrete autosolitonnonconservative perturbationsquintic damping

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) General perturbation schemes for nonlinear problems in mechanics (70K60)

Related Items

Motion and stability properties of solitons in discrete dissipative structures, Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation, Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence

Cites Work

• Nonlinear differential–difference equations and Fourier analysis
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