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  <doc>
    <id>1179</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation>Max Planck Inst. for Mathematics, Bonn; Brock Univ., St.Catharines, Canada and ZIB Fellow</contributingCorporation>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2010-07-07</completedDate>
    <publishedDate>2010-07-07</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Classification of integrable super-systems using the SsTools environment</title>
    <abstract language="eng">A classification problem is proposed for supersymmetric %scaling\/-\/in\-va\-ri\-ant evolutionary PDE that satisfy the assumptions of nonlinearity, nondegeneracy, and homogeneity. Four classes of nonlinear coupled boson\/-\/fermion systems are discovered under the weighting assumption $|f|=|b|=|D_t|=\oh$. The syntax of the \Reduce\ package \SsTools, which was used for intermediate computations, and the applicability of its procedures to the calculus of super\/-\/PDE are described.</abstract>
    <identifier type="serial">10-17</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">1240</identifier>
    <identifier type="arxiv">nlin.SI/0609065</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-11792</identifier>
    <enrichment key="SourceTitle">Appeared under the title: "Classification of integrable super-equations by the SsTools environment" in: Comp. Phys. Comm., Vol. 177, no. 3 (2007) pp. 315-328</enrichment>
    <author>A. V. Kiselev</author>
    <submitter>unknown unknown</submitter>
    <author>Thomas Wolf</author>
    <series>
      <title>ZIB-Report</title>
      <number>10-17</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Integrable super-systems</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>symmetries</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>recursions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>classifiaction</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="pacs" number="02.30.Ik">Integrable systems</collection>
    <collection role="msc" number="35Q53">KdV-like equations (Korteweg-de Vries) [See also 37K10]</collection>
    <collection role="msc" number="37K05">Hamiltonian structures, symmetries, variational principles, conservation laws</collection>
    <collection role="msc" number="37K10">Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)</collection>
    <collection role="msc" number="81T40">Two-dimensional field theories, conformal field theories, etc.</collection>
    <collection role="institutes" number="sis">Digital Data and Information for Society, Science, and Culture</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1179/ZR_10_17.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/1179/ZR_10_17.ps</file>
  </doc>
</export-example>
