Nonlinear radial oscillations of coronal loops
The behavior of radial oscillations of coronal magnetic tubes is considered in a weakly nonlinear approximation. The nonlinear Schrödinger equation, the coefficients of which are found from the tube and radial mode parameters, has been obtained for the oscillation amplitude. The coefficients have be...
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Veröffentlicht in: | Geomagnetism and Aeronomy 2016-12, Vol.56 (8), p.1040-1044 |
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creator | Mikhalyaev, B. B. Ruderman, M. S. Naga Varun, E. |
description | The behavior of radial oscillations of coronal magnetic tubes is considered in a weakly nonlinear approximation. The nonlinear Schrödinger equation, the coefficients of which are found from the tube and radial mode parameters, has been obtained for the oscillation amplitude. The coefficients have been calculated for the fundamental radial mode, which is characterized by the absence of the cutoff in the region of low frequencies. It has been shown that the modulation instability condition is satisfied in a wide range of mode parameter values, which indicates that large-amplitude radial oscillations can exist in coronal loops. |
doi_str_mv | 10.1134/S0016793216080168 |
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It has been shown that the modulation instability condition is satisfied in a wide range of mode parameter values, which indicates that large-amplitude radial oscillations can exist in coronal loops.</description><identifier>ISSN: 0016-7932</identifier><identifier>EISSN: 1555-645X</identifier><identifier>EISSN: 0016-7940</identifier><identifier>DOI: 10.1134/S0016793216080168</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Corona ; Coronal loops ; Earth and Environmental Science ; Earth Sciences ; Geophysics/Geodesy ; Instability ; Mathematical analysis ; Modulation ; Nonlinear equations ; Nonlinearity ; Oscillations ; Oscillators ; Parameters ; Schrodinger equation ; Schroedinger equation ; Stability ; Tubes</subject><ispartof>Geomagnetism and Aeronomy, 2016-12, Vol.56 (8), p.1040-1044</ispartof><rights>Pleiades Publishing, Ltd. 2016</rights><rights>Geomagnetism and Aeronomy is a copyright of Springer, 2016.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c382t-a7f915c7aa49d47c0724736a6d2805bb0d8246018d9cb2bb19676191bad5472c3</citedby><cites>FETCH-LOGICAL-c382t-a7f915c7aa49d47c0724736a6d2805bb0d8246018d9cb2bb19676191bad5472c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0016793216080168$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0016793216080168$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Mikhalyaev, B. 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It has been shown that the modulation instability condition is satisfied in a wide range of mode parameter values, which indicates that large-amplitude radial oscillations can exist in coronal loops.</description><subject>Corona</subject><subject>Coronal loops</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Geophysics/Geodesy</subject><subject>Instability</subject><subject>Mathematical analysis</subject><subject>Modulation</subject><subject>Nonlinear equations</subject><subject>Nonlinearity</subject><subject>Oscillations</subject><subject>Oscillators</subject><subject>Parameters</subject><subject>Schrodinger equation</subject><subject>Schroedinger equation</subject><subject>Stability</subject><subject>Tubes</subject><issn>0016-7932</issn><issn>1555-645X</issn><issn>0016-7940</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqNkE9LAzEQxYMoWKsfwNuCFy9bZ_I_RylahaIHFbwt2WxWtmw3Ndke_Pam1IMogqcZ5v3eMPMIOUeYITJ-9QSAUhlGUYLOrT4gExRClJKL10My2cnlTj8mJymtABgIgRMyewhD3w3exiLaprN9EZLr-t6OXRhSEdrChRiGPO9D2KRTctTaPvmzrzolL7c3z_O7cvm4uJ9fL0vHNB1Lq1qDwilruWm4cqAoV0xa2VANoq6h0ZRLQN0YV9O6RiOVRIO1bQRX1LEpudzv3cTwvvVprNZdcj7fNfiwTRVqzRGVRvgHqjJHJdKMXvxAV2Eb83OZMoyxHFwuU4J7ysWQUvRttYnd2saPCqHahV39Cjt76N6TMju8-fht85-mT9ucfag</recordid><startdate>20161201</startdate><enddate>20161201</enddate><creator>Mikhalyaev, B. 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B.</au><au>Ruderman, M. S.</au><au>Naga Varun, E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear radial oscillations of coronal loops</atitle><jtitle>Geomagnetism and Aeronomy</jtitle><stitle>Geomagn. Aeron</stitle><date>2016-12-01</date><risdate>2016</risdate><volume>56</volume><issue>8</issue><spage>1040</spage><epage>1044</epage><pages>1040-1044</pages><issn>0016-7932</issn><eissn>1555-645X</eissn><eissn>0016-7940</eissn><abstract>The behavior of radial oscillations of coronal magnetic tubes is considered in a weakly nonlinear approximation. The nonlinear Schrödinger equation, the coefficients of which are found from the tube and radial mode parameters, has been obtained for the oscillation amplitude. The coefficients have been calculated for the fundamental radial mode, which is characterized by the absence of the cutoff in the region of low frequencies. It has been shown that the modulation instability condition is satisfied in a wide range of mode parameter values, which indicates that large-amplitude radial oscillations can exist in coronal loops.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0016793216080168</doi><tpages>5</tpages></addata></record> |
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subjects | Corona Coronal loops Earth and Environmental Science Earth Sciences Geophysics/Geodesy Instability Mathematical analysis Modulation Nonlinear equations Nonlinearity Oscillations Oscillators Parameters Schrodinger equation Schroedinger equation Stability Tubes |
title | Nonlinear radial oscillations of coronal loops |
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