The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Modulational instabilities in discrete lattices
Abstract
We study analytically and numerically modulational instabilities in discrete nonlinear chains, taking the discrete Klein-Gordon model as an example. We show that discreteness can drastically change the conditions for modulational instability; e.g., at small wave numbers a nonlinear carrier wave is unstable to all possible modulations of its amplitude if the wave amplitude exceeds a certain threshold value. Numerical simulations show the validity of the analytical approach for the initial stage of the time evolution, provided that the harmonics generated by the nonlinear terms are considered. The long-term evolution exhibits chaoticlike states.
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Cites
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Intrinsic Localized Modes in Anharmonic Crystals
Sievers, A. J., & Takeno, S. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.970 · Cited by 1,254
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Observation of modulational instability in optical fibers
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Self-Trapping and Instability of Hydromagnetic Waves Along the Magnetic Field in a Cold Plasma
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Theory and Computer Experiment on Self-Trapping Instability of Plasma Cyclotron Waves
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Cited by
Lederer, F., Stegeman, G. I., Christodoulides, D. N., Assanto, G., Segev, M., & Silberberg, Y. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.04.004 · Cited by 1,180
Self-imaging and modulational instability in an array of periodically curved waveguides
Longhi, S. (2005) · Optics Letters · doi:10.1364/ol.30.002137 · Cited by 84
Instability of bosonic topological edge states in the presence of interactions
Lumer, Y., Rechtsman, M. C., Plotnik, Y., & Segev, M. (2016) · Physical Review A · doi:10.1103/physreva.94.021801 · Cited by 71
Metadata
- Authors
- Kivshar, Y. S., & Peyrard, M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1992-09-01
- Volume
- 46
- Issue
- 6
- Pages
- 3198-3205
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2023939799
- Cited by
- 462
- References
- 9
- FWCI
- 6.76
- Type
- journal article
- Language
- en
- Open access
- closed
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