<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Solar-Terrestrial Physics</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Solar-Terrestrial Physics</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Solar-Terrestrial Physics</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2500-0535</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">6a9c143d32807fdbab85c185</article-id>
   <article-id pub-id-type="doi">10.12737/stp-44201803</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Results of current research</subject>
    </subj-group>
    <subj-group>
     <subject>Results of current research</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Ion dynamics in magnetosonic shock front</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Ion dynamics in magnetosonic shock front</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Кичигин</surname>
       <given-names>Геннадий Николаевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kichigin</surname>
       <given-names>Gennadiy Nikolaevich</given-names>
      </name>
     </name-alternatives>
     <email>king@iszf.irk.ru</email>
     <bio xml:lang="ru">
      <p>доктор физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Институт солнечно-земной физики СО РАН</institution>
     <city xml:lang="ru">Иркутск</city>
     <country country="RU" xml:lang="ru">Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Institute of Solar Terrestrial Physics SB RAS</institution>
     <city xml:lang="en">Irkutsk</city>
     <country country="RU" xml:lang="en">Russian Federation</country>
    </aff>
   </aff-alternatives>
   <volume>4</volume>
   <issue>4</issue>
   <fpage>19</fpage>
   <lpage>25</lpage>
   <permissions>
    <copyright-statement xml:lang="ru">© Кичигин Г.Н.</copyright-statement>
    <copyright-statement xml:lang="en">© Kichigin G.N.</copyright-statement>
    <copyright-holder xml:lang="ru">Кичигин Геннадий Николаевич</copyright-holder>
    <copyright-holder xml:lang="en">Kichigin Gennadiy Nikolaevich</copyright-holder>
   </permissions>
   <self-uri xlink:href="https://zh-szf.ru/en/nauka/publications/6a9c143d32807fdbab85c185/view">https://zh-szf.ru/en/nauka/publications/6a9c143d32807fdbab85c185/view</self-uri>
   <abstract xml:lang="ru">
    <p>I address the ion dynamics at the front of magnetosonic shocks moving at different angles θ to the magnetic field vector. I employ a shock discontinuity model in which the ramp potential difference is taken into account. The analysis conditionally separates all the ions incoming to the front of oblique magnetosonic shocks into the following categories: 1) transient, 2) reflected, 3) gyrating in front of the ramp, 4) pickup in the ramp. Both gyrating and pickup ions are shown to be present temporarily at the magnetosonic shock front at any angles θ. In the end, both the former and the latter appear to be transient in a strictly transversal magnetosonic shock; and either transient or reflected, in an oblique magnetosonic shock. I have found the critical angle θ* that separates ions into transient and reflected in an oblique magnetosonic shock. The critical angle θ* depends both on the velocity of the particles, incident on ramp, and on dimensions of the ramp potential difference. The most important results are that I have identified the physical cause of the production of the reflected ions having a significant energy and have revealed the mechanism for their acceleration in the ramp (surfing). In the near-Earth shock ion foreshock, these very ener-getic ions (from tens to hundreds of keV) escaping from the magnetosonic shock front at a small angle to the front plane manifest themselves in observations in the form of so-called field-aligned beams (FABs) and form the ion foreshock boundary.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>I address the ion dynamics at the front of magnetosonic shocks moving at different angles θ to the magnetic field vector. I employ a shock discontinuity model in which the ramp potential difference is taken into account. The analysis conditionally separates all the ions incoming to the front of oblique magnetosonic shocks into the following categories: 1) transient, 2) reflected, 3) gyrating in front of the ramp, 4) pickup in the ramp. Both gyrating and pickup ions are shown to be present temporarily at the magnetosonic shock front at any angles θ. In the end, both the former and the latter appear to be transient in a strictly transversal magnetosonic shock; and either transient or reflected, in an oblique magnetosonic shock. I have found the critical angle θ* that separates ions into transient and reflected in an oblique magnetosonic shock. The critical angle θ* depends both on the velocity of the particles, incident on ramp, and on dimensions of the ramp potential difference. The most important results are that I have identified the physical cause of the production of the reflected ions having a significant energy and have revealed the mechanism for their acceleration in the ramp (surfing). In the near-Earth shock ion foreshock, these very ener-getic ions (from tens to hundreds of keV) escaping from the magnetosonic shock front at a small angle to the front plane manifest themselves in observations in the form of so-called field-aligned beams (FABs) and form the ion foreshock boundary.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>shock</kwd>
    <kwd>structure of magnetosonic shock front</kwd>
    <kwd>accelerated particles</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>shock</kwd>
    <kwd>structure of magnetosonic shock front</kwd>
    <kwd>accelerated particles</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Alekseyev I.I., Kropotkin A.P. Passage of energetic particles through a magnetohydrodynamic discontinuity surface. Geomagnetism and Aeronomy. 1970, vol. 10, p. 755.</mixed-citation>
     <mixed-citation xml:lang="en">Alekseyev I.I., Kropotkin A.P. Passage of energetic particles through a magnetohydrodynamic discontinuity surface. Geomagnetism and Aeronomy. 1970, vol. 10, p. 755.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bale S.D., Mozer F.S. Measurement of large parallel and perpendicular electric fields on electron spatial scales in the terrestrial bow shock. Phys. Rev. Lett. 2007, vol. 98, iss. 20, id. 205001. DOI: 10.1103/PhysRevLett.98.205001.</mixed-citation>
     <mixed-citation xml:lang="en">Bale S.D., Mozer F.S. Measurement of large parallel and perpendicular electric fields on electron spatial scales in the terrestrial bow shock. Phys. Rev. Lett. 2007, vol. 98, iss. 20, id. 205001. DOI: 10.1103/PhysRevLett.98.205001.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bale S.D., Balikhin M.A., Horbury T.S., Krasnoselskikh V.V., Kucharek H., Mobius E., Walker S.N., Balogh A., Burgess D., Lembege B., Lucek E.A., Scholer M., Schwartz S.J., Thomsen M.F. Quasi-perpendicular shock structure and processes. Space Sci. Rev. 2005, vol. 118, pp. 161-203. DOI: 10.1007/s11214-005-3827-0.</mixed-citation>
     <mixed-citation xml:lang="en">Bale S.D., Balikhin M.A., Horbury T.S., Krasnoselskikh V.V., Kucharek H., Mobius E., Walker S.N., Balogh A., Burgess D., Lembege B., Lucek E.A., Scholer M., Schwartz S.J., Thomsen M.F. Quasi-perpendicular shock structure and processes. Space Sci. Rev. 2005, vol. 118, pp. 161-203. DOI: 10.1007/s11214-005-3827-0.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Balikhin M., Gedalin M., Krasnosselskikh V. The scales in quasiperpendicular shocks. Adv. Space Res. 1995, vol. 15, pp. 247-260.</mixed-citation>
     <mixed-citation xml:lang="en">Balikhin M., Gedalin M., Krasnosselskikh V. The scales in quasiperpendicular shocks. Adv. Space Res. 1995, vol. 15, pp. 247-260.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Balogh A., Treumann R.A. Physics of Collisionless Shocks. New York, Springer Science Business Media, 2013, 512 p. DOI: 10.1007/978-1-4614-6099-2.</mixed-citation>
     <mixed-citation xml:lang="en">Balogh A., Treumann R.A. Physics of Collisionless Shocks. New York, Springer Science Business Media, 2013, 512 p. DOI: 10.1007/978-1-4614-6099-2.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Chiueh T. Multiple-encounter shock-drift acceleration in nearly perpendicular shocks. Astrophysical J. Pt. 1. 1988, vol. 333, pp. 366-385.</mixed-citation>
     <mixed-citation xml:lang="en">Chiueh T. Multiple-encounter shock-drift acceleration in nearly perpendicular shocks. Astrophysical J. Pt. 1. 1988, vol. 333, pp. 366-385.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Dawson J.M., Katsouleas T. Unlimited electron acceleration in laser-driven plasma waves. Phys. Rev. Lett. 1983, vol. 51, pp. 392-396.</mixed-citation>
     <mixed-citation xml:lang="en">Dawson J.M., Katsouleas T. Unlimited electron acceleration in laser-driven plasma waves. Phys. Rev. Lett. 1983, vol. 51, pp. 392-396.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Decker R.B. Computer modeling of test particle acceleration at oblique shocks. Space Sci. Rev. 1988, vol. 48, pp. 195-262.</mixed-citation>
     <mixed-citation xml:lang="en">Decker R.B. Computer modeling of test particle acceleration at oblique shocks. Space Sci. Rev. 1988, vol. 48, pp. 195-262.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Erokhin N.S., Moiseev S.S., Sagdeev R.Z. Relativistic surfing in nonuniform plasma and generation of cosmic rays. Sov. Astronomy Lett. 1989, vol. 15, no. 1, pp. 3-6.</mixed-citation>
     <mixed-citation xml:lang="en">Erokhin N.S., Moiseev S.S., Sagdeev R.Z. Relativistic surfing in nonuniform plasma and generation of cosmic rays. Sov. Astronomy Lett. 1989, vol. 15, no. 1, pp. 3-6.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Gosling J.T., Thomsen M.F., Bame S.J., Feldman W.C. Evidence for specularly reflected ions upstream from the quasi-parallel bow shock. Geophys. Res. Lett. 1982, vol. 9, pp. 1333-1336. DOI: 10.1029/GL009i012p01333.</mixed-citation>
     <mixed-citation xml:lang="en">Gosling J.T., Thomsen M.F., Bame S.J., Feldman W.C. Evidence for specularly reflected ions upstream from the quasi-parallel bow shock. Geophys. Res. Lett. 1982, vol. 9, pp. 1333-1336. DOI: 10.1029/GL009i012p01333.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Heppner J.P., Maynard N.C., Aggson T.L. Early results from ISEE-1 electric field measurements. Space Sci. Rev. 1978, vol. 22, pp. 777-789.</mixed-citation>
     <mixed-citation xml:lang="en">Heppner J.P., Maynard N.C., Aggson T.L. Early results from ISEE-1 electric field measurements. Space Sci. Rev. 1978, vol. 22, pp. 777-789.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kichigin G.N. Investigation of the ion acceleration process at a front of magnetoacoustic wave with an isomagnetic discontinuity. Sov. Phys. JETP. 1992, vol. 74, pp. 793-814.</mixed-citation>
     <mixed-citation xml:lang="en">Kichigin G.N. Investigation of the ion acceleration process at a front of magnetoacoustic wave with an isomagnetic discontinuity. Sov. Phys. JETP. 1992, vol. 74, pp. 793-814.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kichigin G.N. Properties of surfatron acceleration of electrons. JETP. 1995, vol. 81, no. 4, pp. 736-744.</mixed-citation>
     <mixed-citation xml:lang="en">Kichigin G.N. Properties of surfatron acceleration of electrons. JETP. 1995, vol. 81, no. 4, pp. 736-744.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kichigin, G. N. Surfatron mechanism of acceleration of cosmic rays in galactic plasma. JETP. 2001, vol. 92, no. 6, pp. 895-903.</mixed-citation>
     <mixed-citation xml:lang="en">Kichigin, G. N. Surfatron mechanism of acceleration of cosmic rays in galactic plasma. JETP. 2001, vol. 92, no. 6, pp. 895-903.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kichigin G.N. Surfing and generation of cosmic rays in relativistic shock waves. 2009a, JETP, vol. 109, no. 3, pp. 408-417.</mixed-citation>
     <mixed-citation xml:lang="en">Kichigin G.N. Surfing and generation of cosmic rays in relativistic shock waves. 2009a, JETP, vol. 109, no. 3, pp. 408-417.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kichigin G.N. On an origin of energetic particles in the foreshock region of the Earth’s bow shock. Astronomy Lett. 2009b, vol. 35, no. 4, pp. 261-269.</mixed-citation>
     <mixed-citation xml:lang="en">Kichigin G.N. On an origin of energetic particles in the foreshock region of the Earth’s bow shock. Astronomy Lett. 2009b, vol. 35, no. 4, pp. 261-269.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lee M.A., Shapiro V.D., Sagdeev R.Z. Pickup ion energization by shock surfing. J. Geophys. Res. 1996, vol. 101A, pp. 4777-4789.</mixed-citation>
     <mixed-citation xml:lang="en">Lee M.A., Shapiro V.D., Sagdeev R.Z. Pickup ion energization by shock surfing. J. Geophys. Res. 1996, vol. 101A, pp. 4777-4789.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lever E.L., Quest K.B., Shapiro V.D. Shock surfing vs shock drift acceleration. Geophys. Res. Lett. 2001, vol. 28, pp. 1367-1370.</mixed-citation>
     <mixed-citation xml:lang="en">Lever E.L., Quest K.B., Shapiro V.D. Shock surfing vs shock drift acceleration. Geophys. Res. Lett. 2001, vol. 28, pp. 1367-1370.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Leroy M.M. Structure of perpendicular shocks in collisionless plasma. Phys. Fluids. 1982, vol. 26, pp. 2742-2753.</mixed-citation>
     <mixed-citation xml:lang="en">Leroy M.M. Structure of perpendicular shocks in collisionless plasma. Phys. Fluids. 1982, vol. 26, pp. 2742-2753.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Leroy M.M., Winske D., Goodrich C.C. Wu C.S., Papadopoulos K. The structure of perpendicular bow shocks. J. Geo-phys. Res. 1983, vol. 87, pp. 5081-5094.</mixed-citation>
     <mixed-citation xml:lang="en">Leroy M.M., Winske D., Goodrich C.C. Wu C.S., Papadopoulos K. The structure of perpendicular bow shocks. J. Geo-phys. Res. 1983, vol. 87, pp. 5081-5094.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">ErokNewbury J.A., Russell C.T., Gedalin M. The ramp widths of high-Mach-number, quasi-perpendicular collisionless shocks. J. Geophys. Res. 1998, vol. 103, iss. A12, pp. 29581-29594.</mixed-citation>
     <mixed-citation xml:lang="en">ErokNewbury J.A., Russell C.T., Gedalin M. The ramp widths of high-Mach-number, quasi-perpendicular collisionless shocks. J. Geophys. Res. 1998, vol. 103, iss. A12, pp. 29581-29594.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ohsawa Y. Conditions for ion reflection in a large amplitude magnetosonic wave. J. Phys. Soc. Japan. 1990, vol. 59, pp. 2782-2789.</mixed-citation>
     <mixed-citation xml:lang="en">Ohsawa Y. Conditions for ion reflection in a large amplitude magnetosonic wave. J. Phys. Soc. Japan. 1990, vol. 59, pp. 2782-2789.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sagdeev R.Z. Collective processes and shock waves in rarefied plasma. Rev. Plasma Phys. New York, Consult. Bur., 1966, vol. 4, pp. 23-58.</mixed-citation>
     <mixed-citation xml:lang="en">Sagdeev R.Z. Collective processes and shock waves in rarefied plasma. Rev. Plasma Phys. New York, Consult. Bur., 1966, vol. 4, pp. 23-58.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Schwartz S., Thomsen M.F., Gosling J.T. Ions upstream of the Earth’s bow shock: a theoretical comparison of alternative source populations. J. Geophys. Res. 1983, vol. 88, no. A3, pp. 2039-2047.</mixed-citation>
     <mixed-citation xml:lang="en">Schwartz S., Thomsen M.F., Gosling J.T. Ions upstream of the Earth’s bow shock: a theoretical comparison of alternative source populations. J. Geophys. Res. 1983, vol. 88, no. A3, pp. 2039-2047.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B25">
    <label>25.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sckopke N., Paschmann G., Bame S.J., Gosling J.T., Russell C.T. Evolution of ion distributions across the nearly perpendicular bow shock: specularly and non-specularly reflected ions. J. Geophys. Res. 1983, vol. 88, pp. 6121-6136. DOI: 10.1029/JA088iA08p06121.</mixed-citation>
     <mixed-citation xml:lang="en">Sckopke N., Paschmann G., Bame S.J., Gosling J.T., Russell C.T. Evolution of ion distributions across the nearly perpendicular bow shock: specularly and non-specularly reflected ions. J. Geophys. Res. 1983, vol. 88, pp. 6121-6136. DOI: 10.1029/JA088iA08p06121.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B26">
    <label>26.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Shapiro V.D., User D. Shock surfing acceleration. Planet. Space Sci. 2003, vol. 51, pp. 665-680.</mixed-citation>
     <mixed-citation xml:lang="en">Shapiro V.D., User D. Shock surfing acceleration. Planet. Space Sci. 2003, vol. 51, pp. 665-680.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B27">
    <label>27.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sugihara R.S., Takeuchi N., Sakai K., Matsumoto M. de Acceleration of charged particles by an electrostatic wave propagation obliquely to a magnetic field. Phys. Rev. Lett. 1984, vol. 52, pp. 1500-1503. DOI: 10.1103/PhysRevLett.52.1500.</mixed-citation>
     <mixed-citation xml:lang="en">Sugihara R.S., Takeuchi N., Sakai K., Matsumoto M. de Acceleration of charged particles by an electrostatic wave propagation obliquely to a magnetic field. Phys. Rev. Lett. 1984, vol. 52, pp. 1500-1503. DOI: 10.1103/PhysRevLett.52.1500.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B28">
    <label>28.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Toptygin I.N. Acceleration of particles by shocks in a cosmic plasma. Space Sci. Rev. 1980, vol. 26, pp. 157-213.</mixed-citation>
     <mixed-citation xml:lang="en">Toptygin I.N. Acceleration of particles by shocks in a cosmic plasma. Space Sci. Rev. 1980, vol. 26, pp. 157-213.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B29">
    <label>29.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Webb G.M., Axford W.I., Terasawa T. On the drift mechanism for energetic charged particles at shocks. Astrophys. J. 1983, vol. 270, pp. 537-553.</mixed-citation>
     <mixed-citation xml:lang="en">Webb G.M., Axford W.I., Terasawa T. On the drift mechanism for energetic charged particles at shocks. Astrophys. J. 1983, vol. 270, pp. 537-553.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B30">
    <label>30.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wilson III L.B. Low frequency waves at and upstream of collisionless shocks. Low frequency waves in space plasmas. (GMS-216)-AGU-2016, pp. 269-292.</mixed-citation>
     <mixed-citation xml:lang="en">Wilson III L.B. Low frequency waves at and upstream of collisionless shocks. Low frequency waves in space plasmas. (GMS-216)-AGU-2016, pp. 269-292.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B31">
    <label>31.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Woods L.C. On double structured, perpendicular, magneto-plasma shock waves. Plasma Phys. 1971, vol. 13, pp. 289-302. DOI: 10.1088/0032-1028/13/4/302.</mixed-citation>
     <mixed-citation xml:lang="en">Woods L.C. On double structured, perpendicular, magneto-plasma shock waves. Plasma Phys. 1971, vol. 13, pp. 289-302. DOI: 10.1088/0032-1028/13/4/302.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
