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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0209017 (nlin)
[Submitted on 9 Sep 2002]

Title:Solitons in coupled Ablowitz-Ladik chains

Authors:Boris A. Malomed, Jianke Yang
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Abstract: A model of two coupled Ablowitz-Ladik (AL) lattices is introduced. While the system as a whole is not integrable, it admits reduction to the integrable AL model for symmetric states. Stability and evolution of symmetric solitons are studied in detail analytically (by means of a variational approximation) and numerically. It is found that there exists a finite interval of positive values of the coupling constant in which the symmetric soliton is stable, provided that its mass is below a threshold value. Evolution of the unstable symmetric soliton is further studied by means of direct simulations. It is found that the unstable soliton breaks up and decays into radiation, or splits into two counter-propagating asymmetric solitons, or evolves into an asymmetric pulse, depending on the coupling coefficient and the mass of the initial soliton.
Comments: To appear in Phys. Lett. A
Subjects: Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:nlin/0209017 [nlin.PS]
  (or arXiv:nlin/0209017v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0209017
Related DOI: https://doi.org/10.1016/S0375-9601%2802%2901140-4

Submission history

From: Jianke Yang [view email]
[v1] Mon, 9 Sep 2002 02:36:39 UTC (139 KB)
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