From modulational instability to self-trapping in nonlinear chains with power-law hopping amplitudes

DOI10.1016/J.PHYSA.2019.121909OpenAlexW2953497647WikidataQ127609406 ScholiaQ127609406MaRDI QIDQ2163932

Marcelo L. Lyra, J. F. A. Sousa, W. S. Dias

Publication date: 11 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.physa.2019.121909

zbMATH Keywords

chaotic dynamicsmodulational instabilityself-trappingbreathing modeslong-range couplings

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Modulation instability: The beginning
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Nonlinear dynamics of damped DNA systems with long-range interactions
• Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
• Mean-field driven first-order phase transitions in systems with long-range interactions
• Studies of polaron motion. I: The molecular-crystal model; II: The 'small' polaron
• Fractal and Chaotic Solutions of the Discrete Nonlinear Schrödinger Equation in Classical and Quantum Systems
• Collective dynamics of ‘small-world’ networks
• Quantum percolation in power-law diluted chains

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