<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Orbital stability of the black soliton for the Gross-Pitaevskii equation</dc:title>
<dc:creator>Fabrice Bethuel</dc:creator><dc:creator>Phillipe Gravejat</dc:creator><dc:creator>J. Saut</dc:creator><dc:creator>Didier Smets</dc:creator>
<dc:subject>35B35</dc:subject><dc:subject>35Q40</dc:subject><dc:subject>35Q55</dc:subject><dc:subject>Gross-Pitaevskii equation</dc:subject><dc:subject>kink solution</dc:subject><dc:subject>orbital stability</dc:subject>
<dc:description> We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = \th(x/\sqrt{2})$, for the one-dimensional Gross-Pitaevskii equation, with respect to perturbations in the energy space.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2008</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2008.57.3632</dc:identifier>
<dc:source>10.1512/iumj.2008.57.3632</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 57 (2008) 2611 - 2642</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>