Existence of standing waves in DNLS with saturable nonlinearity on 2D-lattice

zbMath1433.35353MaRDI QIDQ2291835

G. M. Kovtonyuk, S. M. Bak

Publication date: 31 January 2020

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1575428421

zbMATH Keywords

critical pointsdiscrete nonlinear Schrödinger equationstanding wavesNehari manifoldsaturable nonlinearityperiodic approximations2D-lattice

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Difference operators (39A70) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (4)

Well-posedness of the Cauchy problem for system of oscillators on 2D-lattice in weighted \(L^2\)-spaces ⋮ Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities ⋮ Existence of traveling solitary waves in Fermi-Pasta-Ulam-type systems with saturable nonlinearities on 2D-lattice ⋮ Existence of traveling waves in Fermi-Pasta-Ulam-type systems on a 2D-lattice

This page was built for publication: Existence of standing waves in DNLS with saturable nonlinearity on 2D-lattice