A REMARK ON THE EXISTENCE OF BREATHER SOLUTIONS FOR THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION IN INFINITE LATTICES: THE CASE OF SITE-DEPENDENT ANHARMONIC PARAMETERS

DOI10.1017/S0013091504001415zbMath1134.37363arXivnlin/0503031MaRDI QIDQ5466811

Publication date: 22 May 2006

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0503031

zbMATH Keywords

variational methods discrete nonlinear Schrödinger equation lattice differential equations breather solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) NLS equations (nonlinear Schrödinger equations) (35Q55) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

Related Items (13)

Homoclinic solutions in non-periodic discrete \(\phi\)-Laplacian equations with mixed nonlinearities ⋮ Dynamical transitions between equilibria in a dissipative Klein-Gordon lattice ⋮ Breathers of discrete one-dimensional nonlinear Schrödinger equations in inhomogeneous media ⋮ Existence of breather solutions of the DNLS equations with unbounded potentials ⋮ Escape dynamics in the discrete repulsive \({\phi}^4\) model ⋮ Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping ⋮ Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices ⋮ Standing waves for discrete nonlinear Schrödinger equations: sign-changing nonlinearities ⋮ Lower and upper estimates on the excitation threshold for breathers in discrete nonlinear Schrödinger lattices ⋮ Energy thresholds for the existence of breather solutions and travelling waves on lattices ⋮ Localised time-periodic solutions of discrete nonlinear Klein-Gordon systems with convex on-site potentials ⋮ Breather solutions of the discrete nonlinear Schrödinger equations with unbounded potentials ⋮ Breather solutions of the discrete nonlinear Schrödinger equations with sign changing nonlinearity

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