<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f1.xsl"?>
<top_article>
 <mrnumber>MR0326199</mrnumber>
 <author>Tsutsumi, Masayoshi</author>
 <author_utf8>Masayoshi TSUTSUMI</author_utf8>
 <title>On global solutions of the modified KdV equation in               inhomogeneous media</title>
 <journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
 <volume>15</volume>
 <year>1972</year>
 <page>161--172</page>
 <url_pdf>http://fe.math.kobe-u.ac.jp/FE/Free/vol15/fe15-13.pdf</url_pdf>
 <url_infty_pdf>http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE11-20-en_KML/fe15-161-172/fe15-161-172.pdf</url_infty_pdf>
 <mathsci_link> http://www.ams.org/mathscinet-getitem?mr=MR0326199</mathsci_link>
<fesi_info>
  <FILE>fe15-161-172</FILE>
  <YEAR>1972</YEAR>
  <TITLE>On Global Solutions of the Modified KdV Equation in Inhomogeneous Media</TITLE>
  <AUTHOR>TSUTSUMI, Masayoshi</AUTHOR>
  <AUTHOR_utf8>TSUTSUMI, Masayoshi</AUTHOR_utf8>
</fesi_info>

<references>
  <article>
    <bibitem>1</bibitem>
    <author>Korteweg, D. J.; de Vries, G.</author>
    <title>On the change of the form of long waves advancing in a rectangular channel and on a new type of long stationary wave</title>
    <journal>Phil. Mag.</journal>
    <vol>39</vol>
    <year>1895</year>
    <page>422-443</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ko/Kortewegand,rectangular,Phil*,1895,1896</query_string>
  </article>

  <other>
    <bibitem>2</bibitem>
    <raw_data>Gardner, C. S.; Morikawa, G. K., Similarity in the asymptotic behavior of collision-free hydromagnetic waves and water waves, Courant Institute of Mathematical Sciences, New York University, Rept. MF-2, NYO-9082, 1960</raw_data>
  </other>

  <article>
    <bibitem>3</bibitem>
    <author>Zabusky, N. J.</author>
    <title>A synergetic approach to problems of nonlinear dispersive wave propagation and interaction</title>
<journal>Proceedings of the Symposium on Nonlinear Partial Differential Equations, W. Ames, ed., Academic Press, New York</journal>
    <year>1967</year>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Za/Zabusky,propagation,*,1967,1968</query_string>
  </article>

  <article>
    <bibitem>4</bibitem>
    <author>Taniuti, T.; Wei, C. C.</author>
    <title>Reductive Perturbation Method in Nonlinear Wave Propagation I</title>
    <journal>J. Phys. Soc. Japan</journal>
    <vol>23</vol>
    <year>1968</year>
    <page>941-946</page>
    <score>75</score>
    <query_string>Cache/Ta/Taniuti,Perturbation,J*,1968,1969</query_string>
  </article>

  <other>
    <bibitem>5</bibitem>
    <raw_data>Sj&#246;berg, A., On the Korteweg-de Vries equation; Existence and Uniqueness, Department of Computer Sciences, Uppsala University, Uppsapa, Sweden, 1967</raw_data>
  </other>

  <article>
    <bibitem>6</bibitem>
    <author>Kametaka, Y.</author>
    <title>Korteweg-de Vries equation, I</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>45</vol>
    <year>1969</year>
    <page>552-555</page>
    <mr>MR0252827</mr>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Kametaka, Y.</author>
    <title>Korteweg-de Vries equation, II</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>45</vol>
    <year>1969</year>
    <page>556-558</page>
    <mr>MR0252828</mr>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Kametaka, Y.</author>
    <title>Korteweg-de Vries equation, III</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>45</vol>
    <year>1969</year>
    <page>656-660</page>
    <mr>MR0262706</mr>
  </article>

  <article>
    <bibitem>6</bibitem>
    <author>Kametaka, Y.</author>
    <title>Korteweg-de Vries equation, IV</title>
    <journal>Proc. Japan Acad.</journal>
    <vol>45</vol>
    <year>1969</year>
    <page>661-665</page>
    <mr>MR0262707</mr>
  </article>

  <article>
    <bibitem>7</bibitem>
    <author>Temam, R.</author>
    <title>Sur un probl&#232;me non lin&#233;aire</title>
    <journal>J. Math. Pures Appl</journal>
    <vol>48</vol>
    <year>1969</year>
    <page>159-172</page>
    <mr>MR0261183</mr>
    <query_string>Cache/Te/Teman,Sur,J*,1969,1970</query_string>
  </article>

  <article>
    <bibitem>8</bibitem>
    <author>Mukasa, T.; Iino, R.</author>
    <title>On the global solution for the simplest generalized Kortewegde Vries equation</title>
    <journal>Math. Japonicae</journal>
    <vol>14</vol>
    <year>1969</year>
    <page>75-83</page>
    <mr>MR0262708</mr>
    <score>90</score>
    <query_string>Cache/Mu/Mukasa,generalized,Math*,1969,1970</query_string>
  </article>

  <other>
    <bibitem>9</bibitem>
    <raw_data>Masuda, K., On the initial value problem for the generalized Korteweg-de Vriea equations, (preprint)</raw_data>
  </other>

  <fearticle>
    <bibitem>10</bibitem>
    <author>Tsutsumi, M.; Mukasa, T.</author>
    <title>Parabolic regularizations for the generalized Korteweg-de Vries equation</title>
    <journal>Funkcialaj Ekvacioj</journal>
    <vol>14</vol>
    <year>1971</year>
    <page>89-110</page>
    <mr>MR0312097</mr>
<feart>0312097</feart>
    <score>100</score>
    <query_string>Cache/Ts/Tsutsumi,regularizations,Funkcialaj*,1971,1972</query_string>
  </fearticle>

  <article>
    <bibitem>11</bibitem>
    <author>Tsutsumi, M.</author>
    <title>On Global Solutions of the Generalized Korteweg-de Vries Equation</title>
    <journal>Publ. RIMS, Kyoto Univ.</journal>
    <vol>7</vol>
    <year>1971</year>
    <page>329-344</page>
    <mr>MR0312096</mr>
    <score>88</score>
    <query_string>Cache/Ts/Tsutsumi,Generalized,Publ*,1971,1972</query_string>
  </article>

  <other>
    <bibitem>12</bibitem>
    <raw_data>Dushane, T. E., Generalizations of the Korteweg-de Vries Equation, (preprint)</raw_data>
<mr>MR0333490</mr>
  </other>

  <article>
    <bibitem>13</bibitem>
    <author>Zabusky, N.; Kruskal, M. D.</author>
    <title>Interaction of solitons in a collisionless plasma and the recurrence of initial states</title>
    <journal>Phys. Rev. Lett</journal>
    <vol>15</vol>
    <year>1965</year>
    <page>240-243</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Za/Zabusky,collisionless,Phys*,1965,1966</query_string>
  </article>

  <article>
    <bibitem>14</bibitem>
    <author>Gardner, C. S.; Greene, J. M.; Kruskal, M. D.; Miura, M. R.</author>
    <title>A method for solving the Korteweg-de Vries equation</title>
    <journal>Phys. Rev. Lett.</journal>
    <vol>19</vol>
    <year>1967</year>
    <page>1095-1097</page>
    <not_found>Title does not match.</not_found>
    <nearest_title>Korteweg-de Vries equation and generalizations I A               remarkable explicit nonlinear transformation</nearest_title>
    <query_string>Cache/Ga/Gardner,Korteweg-de,Phys*,1967,1968</query_string>
    <mr_guess>MR0252825</mr_guess>
  </article>

  <article>
    <bibitem>15</bibitem>
    <author>Lax, P. D.</author>
    <title>Integrals of nonlinear equations of evolution and solitary waves</title>
    <journal>Comm. Pure Appl. Math</journal>
    <vol>21</vol>
    <year>1968</year>
    <page>467-490</page>
    <mr>MR0235310</mr>
    <score>100</score>
    <query_string>Cache/La/Lax,Integrals,Comm*,1968,1969</query_string>
  </article>

  <article>
    <bibitem>16</bibitem>
    <author>Kawahara, T.</author>
    <title>Weak Nonlinear Magneto-Acoustic Waves in a Cold Plasma in the Presence of Effective Electron-Ion Collisions</title>
    <journal>J. Phys. Soc. Japan</journal>
    <vol>28</vol>
    <year>1970</year>
    <page>1321-1329</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ka/Kawahara,Magneto-Acoustic,J*,1970,1971</query_string>
  </article>

  <article>
    <bibitem>17</bibitem>
    <author>Johnson, R. S.</author>
    <title>A non-linear equation incorporating damping and dispersion</title>
    <journal>J. Fluid Mech.</journal>
    <vol>42</vol>
    <year>1970</year>
    <page>49-60</page>
    <mr>MR0268546</mr>
    <score>100</score>
    <query_string>Cache/Jo/Johnson,incorporating,J*,1970,1971</query_string>
  </article>

  <article>
    <bibitem>18</bibitem>
    <author>Conley, C. C.; Smoller, J. A.</author>
    <title>Shock Waves as Limits of Progressive Wave Solutions of Higher Order Equations</title>
    <journal>Comm. Pure Appl. Math.</journal>
    <vol>24</vol>
    <year>1971</year>
    <page>459-472</page>
    <mr>MR0283414</mr>
    <score>100</score>
    <query_string>Cache/Co/Conley,Progressive,Comm*,1971,1972</query_string>
  </article>

  <article>
    <bibitem>19</bibitem>
    <author>Kakutani, T.</author>
    <title>Weak Nonlinear Magneto-Acoustic Waves in an Inhomogeneous Plasma</title>
    <journal>J. Phys. Soc. Japan</journal>
    <vol>31</vol>
    <year>1971</year>
    <page>1246-1248</page>
    <not_found>Data is not found in MathSci.</not_found>
    <query_string>Cache/Ka/Kakutani,Magneto-Acoustic,J*,1971,1972</query_string>
  </article>

  <article>
    <bibitem>20</bibitem>
    <author>Asano, N.; Ono, H.</author>
    <title>Nonlinear Dispersive or Dissipative Waves in Inhomogeneous Media</title>
    <journal>J. Phys. Soc. Japan</journal>
    <vol>31</vol>
    <year>1971</year>
    <page>1830-1836</page>
    <mr>MR0331961</mr>
    <score>100</score>
    <query_string>Cache/As/Asano,Inhomogeneous,J*,1971,1972</query_string>
  </article>

  <book>
    <bibitem>21</bibitem>
    <author>Gel'fand, I. M.; Shilov, G. Ye.</author>
    <booktitle>Theory of Differential Equations, (Generalized Function, English transl.)</booktitle>
    <publisher>Academic, Press, New York</publisher>
    <year>1967</year>
    <mr>MR0217416</mr>
  </book>

  <book>
    <bibitem>22</bibitem>
    <author>Friedman, A.</author>
    <booktitle>Partial Differential Equations of Parabolic Type</booktitle>
    <publisher>Prentice-Hall, New Jersey</publisher>
    <year>1964</year>
    <mr>MR0181836</mr>
    <score>100</score>
    <query_string>Cache/Fr/Friedman,Partial,*,1964,1965</query_string>
    <page>xiv+347</page>
  </book>

</references>
</top_article>
