May 29, 2004 Journal article Open Access

Mark J. Ablowitz; Barbara Prinari; A. D. Trubatch

DataCite XML Export

<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd">
  <identifier identifierType="URL">https://www.openaccessrepository.it/record/139309</identifier>
  <creators>
    <creator>
      <creatorName>Mark J. Ablowitz</creatorName>
    </creator>
    <creator>
      <creatorName>Barbara Prinari</creatorName>
    </creator>
    <creator>
      <creatorName>A. D. Trubatch</creatorName>
    </creator>
  </creators>
  <titles>
    <title>Soliton interactions in the vector NLS equation</title>
  </titles>
  <publisher>INFN Open Access Repository</publisher>
  <publicationYear>2004</publicationYear>
  <subjects>
    <subject>Applied Mathematics</subject>
    <subject>Computer Science Applications</subject>
    <subject>Mathematical Physics</subject>
    <subject>Signal Processing</subject>
    <subject>Theoretical Computer Science</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2004-05-29</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://www.openaccessrepository.it/record/139309</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1088/0266-5611/20/4/012</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://www.openaccessrepository.it/communities/itmirror</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">Collisions of solitons for two coupled and N-coupled NLS equation are investigated from various viewpoints. By suitably employing Manakov's well-known formulae for the polarization shift of interacting vector solitons, it is shown that the multisoliton interaction process is pairwise and the net result of the interaction is independent of the order in which such collisions occur. Further, this is shown to be related to the fact that the map determining the interaction of two solitons with nontrivial internal degrees of freedom (e.g. vector solitons) satisfies the Yang–Baxter relation. The associated matrix factorization problem is discussed in detail. Soliton interactions are also described in terms of linear fractional transformations, and the problem of existence of a solution for a basic three-collision gate, which has recently been introduced, is analysed.</description>
  </descriptions>
</resource>