Modulation instability: The beginning

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Cite
Zakharov, V.E., and L.A. Ostrovsky. “Modulation Instability: The Beginning”. Physica D: Nonlinear Phenomena, vol. 238, no. 5, 2009, pp. 540-8, https://doi.org/10.1016/j.physd.2008.12.002.
Zakharov, V., & Ostrovsky, L. (2009). Modulation instability: The beginning. Physica D: Nonlinear Phenomena, 238(5), 540-548. https://doi.org/10.1016/j.physd.2008.12.002
Zakharov, V.E., and L.A. Ostrovsky. “Modulation Instability: The Beginning”. Physica D: Nonlinear Phenomena 238, no. 5 (2009): 540-48. https://doi.org/10.1016/j.physd.2008.12.002.
Zakharov V, Ostrovsky L. Modulation instability: The beginning. Physica D: Nonlinear Phenomena. 2009;238(5):540-8.
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  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Physics
203 1993
The Eckhaus and Benjamin-Feir resonance mechanisms

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 205 1978
Parametric instabilities of electromagnetic waves in plasmas

The Physics of Fluids 715 1974
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion

Applied Physics Letters
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Stability of Spatially Periodic Supercritical Flows in Hydrodynamics

The Physics of Fluids 104 1970
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Mathematical Methods in the Applied Sciences
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  • Science: Mathematics
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  • Science: Mathematics
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Stokes Waves at the Critical Depth are Modulationally Unstable

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  • Science: Physics
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Bright soliton of the third-order nonlinear Schrödinger equation with power law of self-phase modulation in the absence of chromatic dispersion

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  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
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  • Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics
  • Science: Physics: Acoustics. Sound
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Abundant discrete localized wave solutions and related dynamic analysis for the coupled Ablowitz–Ladik equation with a time-dependent coefficient Optical and Quantum Electronics
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Science: Physics
  • Science: Physics: Optics. Light
  • Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics
  • Science: Physics: Acoustics. Sound
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  • Technology: Engineering (General). Civil engineering (General)
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Citations Analysis
Category Category Repetition
Science: Physics425
Science: Mathematics148
Science: Physics: Optics. Light134
Technology: Chemical technology111
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials110
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases104
Science: Chemistry: Physical and theoretical chemistry92
Science: Physics: Acoustics. Sound84
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods77
Technology: Engineering (General). Civil engineering (General): Applied optics. Photonics62
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics52
Science: Physics: Atomic physics. Constitution and properties of matter38
Technology: Engineering (General). Civil engineering (General)32
Science: Chemistry31
Technology: Mechanical engineering and machinery26
Science: Science (General)22
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks16
Science: Geology10
Science9
Science: Chemistry: Analytical chemistry7
Technology: Ocean engineering7
Geography. Anthropology. Recreation: Oceanography7
Medicine6
Science: Biology (General)5
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication5
Science: Physics: Heat: Thermodynamics5
Science: Physics: Descriptive and experimental mechanics5
Naval Science4
Science: Mathematics: Instruments and machines: Electronic computers. Computer science4
Science: Mathematics: Instruments and machines3
Science: Physics: Meteorology. Climatology3
Naval Science: Naval architecture. Shipbuilding. Marine engineering3
Agriculture: Aquaculture. Fisheries. Angling3
Science: Astronomy2
Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity2
Technology: Environmental technology. Sanitary engineering2
Geography. Anthropology. Recreation: Environmental sciences2
Technology: Hydraulic engineering: River, lake, and water-supply engineering (General)2
Science: Physics: Geophysics. Cosmic physics2
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade2
Technology: Electrical engineering. Electronics. Nuclear engineering: Nuclear engineering. Atomic power1
Science: Chemistry: General. Including alchemy1
Technology: Technology (General): Industrial engineering. Management engineering1
Science: Astronomy: Astrophysics1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)1
Technology: Chemical technology: Polymers and polymer manufacture1
Science: Chemistry: Organic chemistry: Biochemistry1
The category Science: Physics 425 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Numerical simulation of “limiting” envelope solitons of gravity waves on deep water and was published in 2009. The most recent citation comes from a 2024 study titled Abundant discrete localized wave solutions and related dynamic analysis for the coupled Ablowitz–Ladik equation with a time-dependent coefficient. This article reached its peak citation in 2023, with 69 citations. It has been cited in 180 different journals, 15% of which are open access. Among related journals, the Physical Review E cited this research the most, with 35 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year