Formation of Localized Modes in DNLS

DOI10.1007/978-3-540-89199-4_12zbMath1181.39009OpenAlexW1515192894MaRDI QIDQ3654737

Panayotis G. Kevrekidis

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_12

zbMATH Keywords

instabilitynonlinear wave solutionsoptical waveguidesdiscrete nonlinear Schrödinger (DNLS) model

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) Antennas, waveguides in optics and electromagnetic theory (78A50) Discrete version of topics in analysis (39A12)

Cites Work

• Dynamical barrier for the formation of solitary waves in discrete lattices
• Dynamics of self-trapping in the discrete nonlinear Schrödinger equation
• Thresholds for soliton creation in the Ablowitz-Ladik lattice
• Excitation thresholds for nonlinear localized modes on lattices
• Three Sources and Three Component Parts of the Concept of Dissipative Solitons

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