Discrete Nonlinear Schrödinger Equations with Time-Dependent Coefficients (Management of Lattice Solitons)

DOI10.1007/978-3-540-89199-4_15zbMath1230.37083OpenAlexW1597816030MaRDI QIDQ3654740

Jesús Cuevas, Boris A. Malomed

Publication date: 11 January 2010

Published in: Springer Tracts in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-89199-4_15

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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• Soliton experiments in transmission lines.
• Solitons on lattices
• Soliton dynamics in the discrete nonlinear Schrödinger equation
• Continuum approach to discreteness
• Soliton Management in Periodic Systems
• Nonlinear lattice dynamics of Bose–Einstein condensates
• Discrete nonlinear dynamics of weakly coupled Bose–Einstein condensates

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