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Cuevas, J.; Hoq, Q. E.; Susanto, H.; Kevrekidis, P. G.

Interlaced solitons and vortices in coupled DNLS lattices. (English) Zbl 1211.37090

Physica D 238, No. 22, 2216-2226 (2009).
A system of coupled discrete nonlinear Schrödinger equations is shown to possess a new class of solutions which are called interlaced solitons (in the one dimensional case) and interlaced vortices (in the two and three dimensional case). These solutions are found via continuation arguments from the anti-integrable limit and correspond to wave forms whose one component has support where the other component does not. Their stability properties are commented upon and a detailed numerical analysis of the system providing a clear picture of the dynamics is provided.
Reviewer: Athanasios Yannacopoulos (Athens)

Cited in 3 Documents

MSC:

37K60 Lattice dynamics; integrable lattice equations
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
35Q55 NLS equations (nonlinear Schrödinger equations)

Keywords:

solitons; discrete nonlinear Schrödinger equation; Manakov model; vortices
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