29 citations · 29 across the 1 of their papers we have counts for
3 papers
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…
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…
A Rich Example of Geometrically Induced Nonlinearity: From Rotobreathers and Kinks to Moving Localized Modes and Resonant Energy Transfer
P. G. Kevrekidis, S. V. Dmitriev, S. Takeno +2
We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations…