34 citations · 101 across the 5 of their papers we have counts for
5 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…
On quantization of weakly nonlinear lattices. Envelope solitons
V. V. Konotop, S. Takeno
A way of quantizing weakly nonlinear lattices is proposed. It is based on introducing "pseudo-field" operators. In the new formalism quantum envelope solitons together with phonons…
Acoustic breathers in two-dimensional lattices
S. Flach, K. Kladko, S. Takeno
The existence of breathers (time-periodic and spatially localized lattice vibrations) is well established for i) systems without acoustic phonon branches and ii) systems with acous…