Nonlinear interaction of linear excitations and their localization at a defect in a two-level system

Author(s):  S.E. Savotchenko, Dr., Prof., Belgorod State Technological University named after V.G. Shukhov, Belgorod, Russia, savotchenkose@mail.ru

Issue:  Volume 50, № 4

Rubric:  Physics

Annotation:  The features of localization of stationary states in a two-level system with nonlinear interaction at the interface of two linear media are considered. The mathematical formulation of the model is a one-dimensional boundary value problem for a linear Schrödinger equation with nonlinear boundary conditions. The conditions of localization of excitations are analyzed. It is shown that a linear localized state in a linear medium due to nonlinearity of interaction with a defect has a dispersion law, which has a characteristic feature for nonlinear waves - the dependence of energy on the degree of field amplitude

Keywords:  Schrödinger equation, planar defect, interface, excitations, waves, localized states

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