Solutions of nonlinear Schrödinger equation with two potential wells in linear/nonlinear media

V. S. Gerasimchuk^a, I. V. Gerasimchuk^ab, N. I. Dranik<sup>a

a</sup> National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37 Peremohy Ave., Kyiv 03056, Ukraine
^b Institute of Magnetism, National Academy of Sciences of Ukraine and Ministry of Education, and Science of Ukraine, 36-b Vernadsky Blvd., Kyiv 03142, Ukraine

Abstract: In the framework of nonlinear Schrödinger equation, we analytically studied the nonlinear localized states in the system with two potential holes in the cases of linear and nonlinear media in the holes as well as their linear and nonlinear environment. All the possible solutions for the system are found and studied. The frequency dependences of the field amplitudes for all types of possible stationary localized states are obtained.

Key words and phrases: nonlinear Schrödinger equation, nonlinear localized states, potential well.

UDC: 35Q55; 37K10

Received: 07.02.2015

Language: English

DOI: 10.15407/mag12.02.168

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