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2019 Existence of Standing Waves in DNLS with Saturable Nonlinearity on 2D-Lattice
Sergiy Bak, Galyna Kovtonyuk
Commun. Math. Anal. 22(2): 18-34 (2019).

Abstract

In this paper we obtain results on existence of standing waves in Discrete Nonlinear Shrödinger equation (DNLS) with saturable nonlinearity on a two-dimensional lattice. We consider two types of solutions: with periodic amplitude and vanishing at infinity (localized solution). Sufficient conditions for the existence of such solutions are obtained with the aid of Nehari manifold and periodic approximations.

Citation

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Sergiy Bak. Galyna Kovtonyuk. "Existence of Standing Waves in DNLS with Saturable Nonlinearity on 2D-Lattice." Commun. Math. Anal. 22 (2) 18 - 34, 2019.

Information

Published: 2019
First available in Project Euclid: 4 December 2019

zbMATH: 07161349
MathSciNet: MR4033734

Subjects:
Primary: 35Q55
Secondary: 35A15, 35Q51, 39A12, 39A70

Rights: Copyright © 2019 Mathematical Research Publishers

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Vol.22 • No. 2 • 2019
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