scientific article; zbMATH DE number 1996279

zbMath1032.81007arXivnlin/0211049MaRDI QIDQ4432240

Eilbeck, J. C., Magnus Johansson

Publication date: 22 October 2003

Full work available at URL: https://arxiv.org/abs/nlin/0211049

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of quantum theory (81-03) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items

The Lefever-Lejeune nonlinear lattice: convergence dynamics and the structure of equilibrium states, Mean field derivation of DNLS from the Bose-Hubbard model, Discrete canonical system and non‐Abelian Toda lattice: Bäcklund–Darboux transformation, Weyl functions, and explicit solutions, Existence of discrete solitons in discrete nonlinear Schrödinger equations with non-weak couplings, The closeness of the Ablowitz-Ladik lattice to the discrete nonlinear Schrödinger equation, Breather Solutions of the Discrete p-Schrödinger Equation, Dissipative localised structures for the complex discrete Ginzburg-Landau equation, Solutions of the discrete nonlinear Schrödinger equation with a trap, Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations, Periodic traveling wave solutions of discrete nonlinear Klein‐Gordon lattices, Homoclinic solutions for partial difference equations with mixed nonlinearities, Optimal Control for Stochastic Nonlinear Schrödinger Equation on Graph, Collapse dynamics for the discrete nonlinear Schrödinger equation with gain and loss, Global bifurcation of polygonal relative equilibria for masses, vortices and dNLS oscillators, Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping, The fractional discrete nonlinear Schrödinger equation, Variational approximations using Gaussian ansatz, false instability, and its remedy in nonlinear Schrödinger lattices, Discrete breathers in two-dimensional nonlinear lattices, Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit, Statistical mechanics of systems with negative temperature, NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph, Spatial properties and numerical solitary waves of a nonintegrable discrete nonlinear Schrödinger equation with nonlinear hopping, One-parameter localized traveling waves in nonlinear Schrödinger lattices, Discrete soliton collisions in a waveguide array with saturable nonlinearity, Standing waves for periodic discrete nonlinear Schrödinger equations with asymptotically linear terms, Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices, Variational solutions for the discrete nonlinear Schrödinger equation, Existence of dark solitons in discrete nonlinear Schrödinger equations with non-weak couplings, Statistics of noise-driven coupled nonlinear oscillators: applications to systems with Kerr nonlinearity, The appearance of gap solitons in a nonlinear Schrödinger lattice, Bifurcations of travelling wave solutions in the discrete NLS equations, A discrete nonlinear Schrödinger-type hierarchy, its finite-dimensional reduction analysis, and the numerical integration scheme, Condensation with two constraints and disorder, Standing waves for discrete nonlinear Schrödinger equations with nonperiodic bounded potentials, Few-Lattice-Site Systems of Discrete Self-Trapping Equations, DNLS with Impurities, Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms, Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model, Breather solutions of the discrete nonlinear Schrödinger equations with sign changing nonlinearity, Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach