Geodesic
Solutions of nonlinear Schrödinger equation with two potential wells in linear/nonlinear media
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2016) no. 2, pp. 168-176 
V. S. Gerasimchuk; I. V. Gerasimchuk; N. I. Dranik. Solutions of nonlinear Schrödinger equation with two potential wells in linear/nonlinear media. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2016) no. 2, pp. 168-176. http://geodesic.mathdoc.fr/item/JMAG_2016_12_2_a3/
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     author = {V. S. Gerasimchuk and I. V. Gerasimchuk and N. I. Dranik},
     title = {Solutions of nonlinear {Schr\"odinger} equation with two potential wells in linear/nonlinear media},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {168--176},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2016_12_2_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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