On the validity of the variational approximation in discrete nonlinear Schrödinger equations

DOI10.1016/J.PHYSD.2011.10.004zbMath1252.35247OpenAlexW2032968553MaRDI QIDQ653342

Guido Schneider, Christopher Chong, Dmitry E. Pelinovsky

Publication date: 9 January 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2011.10.004

zbMATH Keywords

variational approximationdiscrete solitonsdiscrete nonlinear Schrödinger equationsanti-continuum limit

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls–Nabarro barrier ⋮ Existence of discrete solitons in discrete nonlinear Schrödinger equations with non-weak couplings ⋮ VARIATIONAL PRINCIPLE FOR (2 + 1)-DIMENSIONAL BROER–KAUP EQUATIONS WITH FRACTAL DERIVATIVES ⋮ Spatially localized structures in lattice dynamical systems ⋮ Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices ⋮ Variational approximations using Gaussian ansatz, false instability, and its remedy in nonlinear Schrödinger lattices ⋮ An extensive resonant normal form for an arbitrary large Klein-Gordon model ⋮ Solitary waves in the Ablowitz–Ladik equation with power-law nonlinearity ⋮ Peakompactons: Peaked compact nonlinear waves

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• Stability of discrete solitons in nonlinear Schrödinger lattices
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