Open AccessЛокализация и трансформация нелинейных возбуждений вблизи границы раздела сред с различными знаками нелинейности
Author(s) -
С.Е. Савотченко
Publication year - 2019
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/jtf.2019.02.47063.2355
Subject(s) - interface (matter) , nonlinear system , limiting , stationary state , physics , transformation (genetics) , dispersion (optics) , energy (signal processing) , boundary value problem , mathematical analysis , dispersion relation , classical mechanics , mathematics , quantum mechanics , chemistry , engineering , mechanical engineering , biochemistry , gibbs isotherm , surface tension , gene
Contact states at the interface of nonlinear media with anharmonicities of different signs are considered. A model that represents a boundary-value problem for the nonlinear Schrödinger equation is proposed. Several types of stationary states that depend on energy and describe local states in the vicinity of the interface, localization of nonlinear waves passing through the interface, and transformation of such waves are obtained for the system under study. Dispersion relations that make it possible to determine the energies of such states are derived. Explicit expressions for the energies of stationary states are obtained in the limiting cases.