<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>4626</id>
    <completedYear/>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>13</pageFirst>
    <pageLast>22</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>19</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2): First-Order Integrating Factors and Conservation Laws</title>
    <abstract language="eng">Recently, Holm and Ivanov, proposed and studied a class of multi-component generalizations of the Camassa–Holm equations [D. D. Holm and R. I. Ivanov, Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples, J. Phys A: Math. Theor. 43 (2010) 492001 (20pp)]. We consider two of those systems, denoted by Holm and Ivanov by CH(2,1) and CH(2,2), and report a class of integrating factors and its corresponding conservation laws for these two systems. In particular, we obtain the complete set of first-order integrating factors for the systems in Cauchy–Kovalevskaya form and evaluate the corresponding sets of conservation laws for CH(2,1) and CH(2,2).</abstract>
    <parentTitle language="eng">Journal of Nonlinear Mathematical Physics</parentTitle>
    <identifier type="doi">10.1142/S1402925112400025</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-16087</enrichment>
    <author>Marianna Euler</author>
    <submitter> Engel</submitter>
    <author>Norbert Euler</author>
    <author>Thomas Wolf</author>
    <collection role="institutes" number="sis">Digital Data and Information for Society, Science, and Culture</collection>
  </doc>
  <doc>
    <id>1608</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2012-10-16</completedDate>
    <publishedDate>2012-10-16</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Two-Component Camassa-Holm Equations CH(2,1) and CH(2,2):   First-Order Integrating Factors and Conservation Laws</title>
    <abstract language="eng">Recently, Holm and Ivanov, proposed and studied a class of multi-component&#13;
generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov,&#13;
Multi-component generalizations of the CH equation: geometrical &#13;
aspects, peakons and numerical examples,&#13;
{\it J. Phys A: Math. Theor} {\bf 43}, 492001 (20pp), 2010]. We&#13;
consider two of those systems, denoted by Holm and Ivanov by CH(2,1) and&#13;
CH(2,2), and report a class of integrating factors and its&#13;
corresponding conservation laws for these two systems. In particular,&#13;
we obtain&#13;
the complete sent of first-order integrating factors for the systems&#13;
in Cauchy-Kovalevskaya form and evaluate the corresponding sets of&#13;
conservation laws for CH(2,1) and CH(2,2).</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-16087</identifier>
    <enrichment key="SourceTitle">To appear in: Journal of Nonlinear Mathematical Physics</enrichment>
    <author>Marianna Euler</author>
    <submitter>Winfried Neun</submitter>
    <author>Norbert Euler</author>
    <author>Thomas Wolf</author>
    <series>
      <title>ZIB-Report</title>
      <number>12-30</number>
    </series>
    <collection role="msc" number="35-XX">PARTIAL DIFFERENTIAL EQUATIONS</collection>
    <collection role="msc" number="76-XX">FLUID MECHANICS (For general continuum mechanics, see 74Axx, or other parts of 74-XX)</collection>
    <collection role="institutes" number="sis">Digital Data and Information for Society, Science, and Culture</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1608/ZR-12-30.pdf</file>
  </doc>
</export-example>
