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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | Russian |
| Published: |
North-Caucasus Federal University
2022-08-01
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| Series: | Современная наука и инновации |
| Subjects: | |
| Online Access: | https://msi.elpub.ru/jour/article/view/81 |
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| Summary: | 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. |
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| ISSN: | 2307-910X |