Publications by the Laboratory of Theoretical Physics

Generalized neighbor-interaction models induced by nonlinear lattices, F. Kh. Abdullaev, Y. Bludov, S. Dmitriev, P. Kevrekidis and V.V. Konotop, Phys. Rev. E 77, 016604 (2008).    [PDF-file  (973 kB)] Abstract: It is shown that the tight-binding approximation of the nonlinear Schrödinger equation with a periodic linear potential and periodic in space nonlinearity coefficient gives rise to a number of nonlinear lattices with complex, both linear and nonlinear, neighbor interactions. The obtained lattices present nonstandard possibilities, among which we mention a quasilinear regime, where the pulse dynamics obeys essentially the linear Schrödinger equation. We analyze the properties of such models both in connection to their modulational stability, as well as in regard to the existence and stability of their localized solitary wave solutions. The papers have Copyright © by the corresponding publishers. The papers may be downloaded for personal use only. Any other use requires prior permission of the author and the publisher.