Formation, control, and dynamics of N localized structures in the Peyrard-Bishop model

Formation, control, and dynamics of N localized structures in the Peyrard-Bishop model

Bibliographic Details
Parent link:Physical Review E: Scientific Journal
Vol. 76, iss. 6.— 2007.— [066603 , 13 p.]
Main Author: Elias Zamora-Sillero
Other Authors: Shapovalov A. V. Aleksandr Vasilyevich, Francisco J. Esteban
Summary:Title screen
We explore in detail the creation of stable localized structures in the form of localized energy distributions that arise from general initial conditions in the Peyrard-Bishop (PB) model. By means of a method based on the inverse scattering transform we study the solutions of PB model equations obtained in the form of planar waves whose amplitudes are described by the nonlinear Schrödinger equation (NLS). For localized initial conditions different from the pure N-soliton shape, we have obtained analytical results that predict and control the number, amplitude, and velocity of the NLS solitary waves. To verify the validity of these results we have carried out numerical simulations of the PB model with the use of realistic values of parameters and the initial conditions in the form of planar waves whose modulated amplitudes are given by the examples studied in the NLS. In the simulations we have found that N localized structures arise in agreement with the prediction of the analytical results obtained in the NLS
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2007
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://dx.doi.org/10.1103/PhysRevE.76.066603
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636492

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