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Discrete Nonlinear Schrodinger Equations Free of the Peierls-Nabarro Potential

Autor: Dmitriev, S. V., Kevrekidis, P. G., Sukhorukov, A. A., Yoshikawa, N., Takeno, S.

Publikováno v: Phys. Lett. A 356, 324-332 (2006)

We derive a class of discrete nonlinear Schr{\"o}dinger (DNLS) equations for general polynomial nonlinearity whose stationary solutions can be found from a reduced two-point algebraic problem. It is demonstrated that the derived class of discretizati

Externí odkaz: http://arxiv.org/abs/nlin/0603047

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A Rich Example of Geometrically Induced Nonlinearity: From Rotobreathers and Kinks to Moving Localized Modes and Resonant Energy Transfer

Autor: Kevrekidis, P. G., Dmitriev, S. V., Takeno, S., Bishop, A. R., Aifantis, E. C.

We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derived and their ground state structures are analyzed.

Externí odkaz: http://arxiv.org/abs/nlin/0412051

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Nonlinear Lattices Generated from Harmonic Lattices with Geometric Constraints

Autor: Takeno, S., Dmitriev, S. V., Kevrekidis, P. G., Bishop, A. R.

Geometrical constraints imposed on higher dimensional harmonic lattices generally lead to nonlinear dynamical lattice models. Helical lattices obtained by such a procedure are shown to be described by sine- plus linear-lattice equations. The interpla

Externí odkaz: http://arxiv.org/abs/nlin/0412052

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On quantization of weakly nonlinear lattices. Envelope solitons

Autor: Konotop, V. V., Takeno, S.

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 are regarded as elementary quasi-particles making up boson gas. In th

Externí odkaz: http://arxiv.org/abs/cond-mat/0103497

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Shock waves in one-dimensional Heisenberg ferromagnets

Autor: Konotop, V. V., Salerno, M., Takeno, S.

We use SU(2) coherent state path integral formulation with the stationary phase approximation to investigate, both analytically and numerically, the existence of shock waves in the one- dimensional Heisenberg ferromagnets with anisotropic exchange in

Externí odkaz: http://arxiv.org/abs/solv-int/9710003

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Acoustic breathers in two-dimensional lattices

Autor: Flach, S., Kladko, K., Takeno, S.

Publikováno v: PHYSICAL REVIEW LETTERS,v.79(#24),4838-4841 DEC 15,1997

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 acoustic phonons, but also with additional symmetries preventing the occure

Externí odkaz: http://arxiv.org/abs/cond-mat/9709048

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