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Nonlinear Schrödinger lattices II: Persistence and Stability of Discrete Vortices
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We study discrete vortices in the anti-continuum limit of the discrete two-dimensional nonlinear Schr{ö}dinger (NLS) equations. The discrete vortices in the anti-continuum limit re…
Nonlinear Schrödinger lattices I: Stability of discrete solitons
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit re…
Bifurcations and stability of gap solitons in periodic potentials
Dmitry E. Pelinovsky, Andrey A. Sukhorukov, Yuri S. Kivshar
We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic systems described by the nonlinear Schrodinger equation with a sinusoidal potential, s…