Solar-Terrestrial Physics Solar-Terrestrial Physics Solar-Terrestrial Physics 2500-0535 20505 10.12737/stp-41201803 Results of current research Results of current research Results of current research Structure of nonlinear whistlers moving through plasma at an angle to the magnetic field Structure of nonlinear whistlers moving through plasma at an angle to the magnetic field Кичигин Геннадий Николаевич Kichigin Gennadiy Nikolaevich king@iszf.irk.ru

доктор физико-математических наук;

doctor of physical and mathematical sciences;

 Институт солнечно-земной физики СО РАН Иркутск Россия Institute of Solar Terrestrial Physics SB RAS Irkutsk Russian Federation 4 1 25 28 https://zh-szf.ru/en/nauka/article/20505/view

The paper presents solutions of two-fluid magnetic hydrodynamics equations describing small-scale fast magnetosonic stable waves — nonlinear whist-lers moving in a cold magnetized plasma at an angle α to the external magnetic field. At the fixed angle α, the Alfvén Mach number of the whistlers has a narrow range of allowed values. It has been found that when passing from extremely small Mach numbers to ex-tremely large ones, amplitudes and spatial structure of wave velocity components and whistler magnetic field change significantly. The range of angles of the motion direction of whistlers with respect to direction of the the external magnetic field vector is determined. Within this range, the obtained approximate analytical and numerical solutions are in satisfactory agreement.

The paper presents solutions of two-fluid magnetic hydrodynamics equations describing small-scale fast magnetosonic stable waves — nonlinear whist-lers moving in a cold magnetized plasma at an angle α to the external magnetic field. At the fixed angle α, the Alfvén Mach number of the whistlers has a narrow range of allowed values. It has been found that when passing from extremely small Mach numbers to ex-tremely large ones, amplitudes and spatial structure of wave velocity components and whistler magnetic field change significantly. The range of angles of the motion direction of whistlers with respect to direction of the the external magnetic field vector is determined. Within this range, the obtained approximate analytical and numerical solutions are in satisfactory agreement.

 magnetosonic waves; nonlinear whistlers magnetosonic waves; nonlinear whistlers

Akhiezer А.I., Akhiezer I.A., Polovin R.V., Sitenko A.G., Stepanov K.N. Elektrodinamika plazmy [Plasma Electrodynamics]. Moscow, Nauka Publ., 1974, 719 p. (In Russian). Akhiezer A.I., Akhiezer I.A., Polovin R.V., Sitenko A.G., Stepanov K.N. Elektrodinamika plazmy [Plasma Electrodynamics]. Moscow, Nauka Publ., 1974, 719 p. (In Russian). Aldam J., Allen J. The structure of strong collision-free hydromagnetic waves. Phyl. Mag. 1958, vol. 3, pp. 448-455. Aldam J., Allen J. The structure of strong collision-free hydromagnetic waves. Phyl. Mag. 1958, vol. 3, pp. 448-455. Balogh A., Treumann R.A. Physics of Collisionless Shocks. New York, Springer Science Business Media, 2013, DOI: 10.1007/978-1-4614-6099-2. Balogh A., Treumann R.A. Physics of Collisionless Shocks. New York, Springer Science Business Media, 2013, DOI: 10.1007/978-1-4614-6099-2. Gershman B.I., Ugarov V.A. Propagation and generation of low-frequency electromagnetic waves in the upper atmosphere. Uspekhi fizicheskikh nauk [Physics-Uspekhi (Adv. Phys. Sci.)]. 1960, vol. LXXII, iss. 2, pp. 235-271. Gershman B.I., Ugarov V.A. Propagation and generation of low-frequency electromagnetic waves in the upper atmosphere. Uspekhi fizicheskikh nauk [Physics-Uspekhi (Adv. Phys. Sci.)]. 1960, vol. LXXII, iss. 2, pp. 235-271. Karpman V.I. Nelineinye volny v dispergiruyushchikh sredakh [Non-Linear Waves in Dispersive Media]. Moscow, Nauka Publ., 1973, 175 p. (In Russian). Karpman V.I. Nelineinye volny v dispergiruyushchikh sredakh [Non-Linear Waves in Dispersive Media]. Moscow, Nauka Publ., 1973, 175 p. (In Russian). Sagdeyev R.Z. Collective processes and shock waves in low-density plasma. Voprosy teorii plazmy [Plasma Theory Matters]. Moscow, Atomizdat Publ., 1964, vol. 4, p. 20. (In Russian). Sagdeyev R.Z. Collective processes and shock waves in low-density plasma. Voprosy teorii plazmy [Plasma Theory Matters]. Moscow, Atomizdat Publ., 1964, vol. 4, p. 20. (In Russian). Kellogg P.J. Solitary waves in a cold collisionless plasma // Phys. Fluids. 1964. V. 7. P. 1555-1571. Kellogg P.J. Solitary waves in a cold collisionless plasma // Phys. Fluids. 1964. V. 7. P. 1555-1571. Krasnoselskikh V.V., Lembège B., Savoini P., Lobzin V.V. Nonstationarity of strong collisionless quasiperpendicular shocks: Theory and full particle numerical simulations. Phys. Plasmas. 2002, vol. 9, pp. 1192-1209. DOI: 10.1063/1.1457465. Krasnoselskikh V.V., Lembège B., Savoini P., Lobzin V.V. Nonstationarity of strong collisionless quasiperpendicular shocks: Theory and full particle numerical simulations. Phys. Plasmas. 2002, vol. 9, pp. 1192-1209. DOI: 10.1063/1.1457465. Saffman P.G. Propagation of a solitary wave along a magnetic field in a cold collision-free plasma. J. Fluids Mech. 1961, vol. 11, pp. 16-20. Saffman P.G. Propagation of a solitary wave along a magnetic field in a cold collision-free plasma. J. Fluids Mech. 1961, vol. 11, pp. 16-20. Tidman D.F., Krаll N.A. Shock Waves in Collisionless Plasmas. New York-London-Sidney-Toronto, Wiley-Interscience; A Division of John Wiley & Sons Inc., 1971, 166 р. Tidman D.F., Krall N.A. Shock Waves in Collisionless Plasmas. New York-London-Sidney-Toronto, Wiley-Interscience; A Division of John Wiley & Sons Inc., 1971, 166 r. Wilson III L.B. Low Frequency Waves at and Upstream of Collisionless Shocks. Low Frequency Waves in Space Plasmas. WiLey, 2016, pp. 269-292. Wilson III L.B. Low Frequency Waves at and Upstream of Collisionless Shocks. Low Frequency Waves in Space Plasmas. WiLey, 2016, pp. 269-292.