Axisymmetric and non-axisymmetric modulated MHD waves in magnetic flux tubes |
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| Institution: | 1. Division of Theoretical Astronomy, National Astronomical Observatory of Japan,2-21-1 Osawa, Mitaka, Tokyo 181-8588, Japan;2. Department of Natural Science, Kochi University, 2-5-1 Akebono-cho, Kochi 780-8520, Japan;3. Department of Human Informatics, Aichi Shukutoku University, 2-9 Katahira, Nagakute, Aichi 480-1197, Japan;1. Groupe d’Astrophysique des Hautes Energies, Institut d’Astrophysique et de Géophysique, Université de Liège, Allée du 6 Août, 19c, Bât B5c, 4000 Liège, Belgium;2. Observatoire Astronomique de Strasbourg, Université de Strasbourg, CNRS, UMR 7550, 11 rue de l’Université, 67000 Strasbourg, France;1. NASRDA-Centre for Basic Space Science, Nsukka, Enugu State, Nigeria 410001, Nsukka, Nigeria;2. Department of Physics and Astronomy, University of Nigeria, Nsukka, Enugu State, Nigeria 410001, Nsukka, Nigeria;1. Physics Department, University of Rijeka, Radmile Matej?i?, 51000 Rijeka, Croatia;2. INAF Astronomical Observatory of Padova, via dell’Osservatorio 8, Asiago (VI) 36012, Italy;1. Sarojini Naidu College for Women, Kolkata 700028, India;2. Camellia Institute of Engineering, Kolkata 700129, India;3. St. Xavier’s College (Autonomous), Kolkata 700016, India;4. Harish Chandra Research Institute, Allahabad 211019, India |
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| Abstract: | Nonlinear modulated both axisymmetric and non-axisymmetric MHD wave propagation in magnetic flux tubes is studied. In the cylindrical coordinates, ordinary differential equation with cubic nonlinearity is derived. In both cases of symmetry, the equation has solitary solutions. Modulation stability of the solutions is studied. The results of the study show that the propagation of axisymmetric soliton causes rising of plasma temperature in peripheral regions of a magnetic flux tube. In the non-axisymmetric case, it gives also temperature rising effect. Results of theoretical study are examined on idealized model of chromospheric spicule. |
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