NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUX
We study a modulation instability of axi-symmetric fast magnetosonic waves trapped by a cylindrical magnetic flux tube. The plasma motion is described by the ideal magnetohydrodynamic equations in so-called cold plasma approximation where the gas pressure is neglected. Nonlinear Schrddinger equation...
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| Format: | Article |
| Language: | Russian |
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North-Caucasus Federal University
2022-08-01
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| Series: | Современная наука и инновации |
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| Online Access: | https://msi.elpub.ru/jour/article/view/81 |
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| author | B. B. Mikhalyaev L. N. Jimbeau G. A. Mankaeva A. E. Dordzhiev |
| author_facet | B. B. Mikhalyaev L. N. Jimbeau G. A. Mankaeva A. E. Dordzhiev |
| author_sort | B. B. Mikhalyaev |
| collection | DOAJ |
| description | We study a modulation instability of axi-symmetric fast magnetosonic waves trapped by a cylindrical magnetic flux tube. The plasma motion is described by the ideal magnetohydrodynamic equations in so-called cold plasma approximation where the gas pressure is neglected. Nonlinear Schrddinger equation is used for describing the nonlinear evolution of an envelope of a carrier wave. It is calculated numerically by the Crank-Nicolson finite difference scheme for various values of wave parameters. Dispersion properties of the carrier wave are taken into account. Values of wave parameters are derived for which the modulation instability takes place. Solutions of Nonlinear Schrddinger equation for that values are discussed. |
| format | Article |
| id | doaj-art-e01a3a64cc454355b23efd7f07650d5f |
| institution | DOAJ |
| issn | 2307-910X |
| language | Russian |
| publishDate | 2022-08-01 |
| publisher | North-Caucasus Federal University |
| record_format | Article |
| series | Современная наука и инновации |
| spelling | doaj-art-e01a3a64cc454355b23efd7f07650d5f2025-08-20T03:20:43ZrusNorth-Caucasus Federal UniversityСовременная наука и инновации2307-910X2022-08-0102546510.33236/2307-910X-2019-2-26-54-6580NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUXB. B. Mikhalyaev0L. N. Jimbeau1G. A. Mankaeva2A. E. Dordzhiev3Kalmyk state UniversityKalmyk state UniversityKalmyk state UniversityKalmyk state UniversityWe study a modulation instability of axi-symmetric fast magnetosonic waves trapped by a cylindrical magnetic flux tube. The plasma motion is described by the ideal magnetohydrodynamic equations in so-called cold plasma approximation where the gas pressure is neglected. Nonlinear Schrddinger equation is used for describing the nonlinear evolution of an envelope of a carrier wave. It is calculated numerically by the Crank-Nicolson finite difference scheme for various values of wave parameters. Dispersion properties of the carrier wave are taken into account. Values of wave parameters are derived for which the modulation instability takes place. Solutions of Nonlinear Schrddinger equation for that values are discussed.https://msi.elpub.ru/jour/article/view/81ingle-solution solutionmonochromatic wavenonlinear schrodinger equationmodulation instabilitysweep methodcut-off pointsdispersion curvesaxisymmetric fast magnetosonic mode |
| spellingShingle | B. B. Mikhalyaev L. N. Jimbeau G. A. Mankaeva A. E. Dordzhiev NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUX Современная наука и инновации ingle-solution solution monochromatic wave nonlinear schrodinger equation modulation instability sweep method cut-off points dispersion curves axisymmetric fast magnetosonic mode |
| title | NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUX |
| title_full | NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUX |
| title_fullStr | NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUX |
| title_full_unstemmed | NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUX |
| title_short | NUMERICAL MODELING OF MODULATING INSTABILITY OF FAST MAGNETO ACOUSTIC WAVES IN MAGNETIC FLUX |
| title_sort | numerical modeling of modulating instability of fast magneto acoustic waves in magnetic flux |
| topic | ingle-solution solution monochromatic wave nonlinear schrodinger equation modulation instability sweep method cut-off points dispersion curves axisymmetric fast magnetosonic mode |
| url | https://msi.elpub.ru/jour/article/view/81 |
| work_keys_str_mv | AT bbmikhalyaev numericalmodelingofmodulatinginstabilityoffastmagnetoacousticwavesinmagneticflux AT lnjimbeau numericalmodelingofmodulatinginstabilityoffastmagnetoacousticwavesinmagneticflux AT gamankaeva numericalmodelingofmodulatinginstabilityoffastmagnetoacousticwavesinmagneticflux AT aedordzhiev numericalmodelingofmodulatinginstabilityoffastmagnetoacousticwavesinmagneticflux |