Discrete nonlinear Schrödinger equation and stationary localized states

zbMATH Open0978.35060MaRDI QIDQ2734895

B. C. Gupta, K. Kundu

Publication date: 30 August 2001

zbMATH Keywords

dimeric nonlinear impurityformation of stationary localized stateslinear Cayley tree

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Molecular physics (81V55) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

Onsite and offsite bound states of the discrete nonlinear Schrödinger equation and the Peierls–Nabarro barrier ⋮ Statistical solution for the nonlocal discrete nonlinear Schrödinger equation ⋮ Ground states in spatially discrete non-linear Schrödinger models ⋮ Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation ⋮ Snakes and ladders: localized states in the Swift-Hohenberg equation ⋮ Discrete spectrum of \(2 + 1\)-dimensional nonlinear Schrödinger equation and dynamics of lumps ⋮ Local instabilities to nonlinear Turing and Hopf states ⋮ Interplay of quantum mechanics and nonlinearity. Understanding small-system dynamics of the discrete nonlinear Schrödinger equation

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