Embedded solitons in dynamical lattices

DOI10.1016/J.PHYSD.2004.06.009zbMath1061.35131OpenAlexW2080876003MaRDI QIDQ1888049

S. González-Pérez-Sandi, Boris A. Malomed, J. Fujioka

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.physd.2004.06.009

zbMATH Keywords

nonlinear Schrödinger equationembedded solitonsbright-soliton solutionsdynamical latticesexact discrete-solitons solutionslattice solitons

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Radiating subdispersive fractional optical solitons ⋮ Moving embedded lattice solitons ⋮ Soliton dynamics in the complex modified KdV equation with a periodic potential ⋮ Critical states embedded in the continuum ⋮ Anomalous thermostat and intraband discrete breathers ⋮ Defect Modes, Fano Resonances and Embedded States in Magnetic Metamaterials

Cites Work

• Unnamed Item
• A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices
• Soliton-Like Solution of an Extended NLS Equation Existing in Resonance with Linear Dispersive Waves
• A Nonlinear Difference Scheme and Inverse Scattering
• Breather$ndash$phonon resonances in finite-size lattices: $lquot$phantom breathers$rquot$?
• Dynamics of Embedded Solitons in the Extended Korteweg–de Vries Equations
• Embedded Solitons: Four-Frequency Radiation, Front Propagation and Radiation Inhibition
• Embedded solitons: Solitary waves in resonance with the linear spectrum

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