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nlin.PS2006★ 29 cited
Discrete Nonlinear Schrodinger Equations Free of the Peierls-Nabarro Potential
S. V. Dmitriev, P. G. Kevrekidis, A. A. Sukhorukov +2
We derive a class of discrete nonlinear Schr{ö}dinger (DNLS) equations for general polynomial nonlinearity whose stationary solutions can be found from a reduced two-point algebrai…
nlin.PS2004
Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints
S. Takeno, S. V. Dmitriev, P. G. Kevrekidis +1
Geometrical constraints imposed on higher dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are show…