Subsymmetries and Their Properties View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-10

AUTHORS

V. Rosenhaus, R. Shankar

ABSTRACT

We introduce a subsymmetry of a differential system as an infinitesimal transformation of a subset of the system that leaves the subset invariant on the solution set of the entire system. We discuss the geometric meaning and properties of subsymmetries and also an algorithm for finding subsymmetries of a system. We show that a subsymmetry is a significantly more powerful tool than a regular symmetry with regard to deformation of conservation laws. We demonstrate that all lower conservation laws of the nonlinear telegraph system can be generated by system subsymmetries. More... »

PAGES

1514-1526

References to SciGraph publications

  • 1991-11. Conditional symmetry of the equations of nonlinear mathematical physics in UKRAINIAN MATHEMATICAL JOURNAL
  • 2007-06. An infinite set of conservation laws for infinite symmetries in THEORETICAL AND MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1134/s0040577918100082

    DOI

    http://dx.doi.org/10.1134/s0040577918100082

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1109783688


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "California State University, Chico", 
              "id": "https://www.grid.ac/institutes/grid.253555.1", 
              "name": [
                "Department of Mathematics and Statistics, California State University, Chico, California, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Rosenhaus", 
            "givenName": "V.", 
            "id": "sg:person.012134432132.50", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012134432132.50"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Washington", 
              "id": "https://www.grid.ac/institutes/grid.34477.33", 
              "name": [
                "Department of Mathematics, University of Washington, Seattle, Washington, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Shankar", 
            "givenName": "R.", 
            "id": "sg:person.012313756300.71", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012313756300.71"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01067273", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021668351", 
              "https://doi.org/10.1007/bf01067273"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jmaa.2005.02.007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026887344"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/34/3/312", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037154261"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11232-007-0072-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048025129", 
              "https://doi.org/10.1007/s11232-007-0072-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-2125(82)90033-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049195856"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0165-2125(82)90033-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049195856"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.1915292", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057831867"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1070/im1991v037n02abeh002069", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058167599"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/22/15/010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059070284"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/49/17/175205", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059174334"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1137/0147018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062840494"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2018-10", 
        "datePublishedReg": "2018-10-01", 
        "description": "We introduce a subsymmetry of a differential system as an infinitesimal transformation of a subset of the system that leaves the subset invariant on the solution set of the entire system. We discuss the geometric meaning and properties of subsymmetries and also an algorithm for finding subsymmetries of a system. We show that a subsymmetry is a significantly more powerful tool than a regular symmetry with regard to deformation of conservation laws. We demonstrate that all lower conservation laws of the nonlinear telegraph system can be generated by system subsymmetries.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1134/s0040577918100082", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1327888", 
            "issn": [
              "0040-5779", 
              "2305-3135"
            ], 
            "name": "Theoretical and Mathematical Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "197"
          }
        ], 
        "name": "Subsymmetries and Their Properties", 
        "pagination": "1514-1526", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "a45c1436eae43487df4bbb47cc4b95b56799d65b09b6c1598f5fc46988af84d6"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1134/s0040577918100082"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1109783688"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1134/s0040577918100082", 
          "https://app.dimensions.ai/details/publication/pub.1109783688"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T02:32", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8700_00000610.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1134%2FS0040577918100082"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1134/s0040577918100082'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1134/s0040577918100082'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1134/s0040577918100082'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1134/s0040577918100082'


     

    This table displays all metadata directly associated to this object as RDF triples.

    103 TRIPLES      21 PREDICATES      37 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1134/s0040577918100082 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N866eac34165d4a39a4de5cbf804d0c54
    4 schema:citation sg:pub.10.1007/bf01067273
    5 sg:pub.10.1007/s11232-007-0072-6
    6 https://doi.org/10.1016/0165-2125(82)90033-6
    7 https://doi.org/10.1016/j.jmaa.2005.02.007
    8 https://doi.org/10.1063/1.1915292
    9 https://doi.org/10.1070/im1991v037n02abeh002069
    10 https://doi.org/10.1088/0305-4470/22/15/010
    11 https://doi.org/10.1088/0305-4470/34/3/312
    12 https://doi.org/10.1088/1751-8113/49/17/175205
    13 https://doi.org/10.1137/0147018
    14 schema:datePublished 2018-10
    15 schema:datePublishedReg 2018-10-01
    16 schema:description We introduce a subsymmetry of a differential system as an infinitesimal transformation of a subset of the system that leaves the subset invariant on the solution set of the entire system. We discuss the geometric meaning and properties of subsymmetries and also an algorithm for finding subsymmetries of a system. We show that a subsymmetry is a significantly more powerful tool than a regular symmetry with regard to deformation of conservation laws. We demonstrate that all lower conservation laws of the nonlinear telegraph system can be generated by system subsymmetries.
    17 schema:genre research_article
    18 schema:inLanguage en
    19 schema:isAccessibleForFree false
    20 schema:isPartOf N30d3e741f60e4af8bde2770f90732ead
    21 N9599731586ba49489497c919c70f9829
    22 sg:journal.1327888
    23 schema:name Subsymmetries and Their Properties
    24 schema:pagination 1514-1526
    25 schema:productId Naf37ef90629e4238af4c41022df2cfc3
    26 Ne3fc391795204ca8b1344a3c278a4758
    27 Nefdff7ea1260449bbeba25045119a8ac
    28 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109783688
    29 https://doi.org/10.1134/s0040577918100082
    30 schema:sdDatePublished 2019-04-11T02:32
    31 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    32 schema:sdPublisher N3e7cd37a94104c87b0eebcd1b223aaa7
    33 schema:url https://link.springer.com/10.1134%2FS0040577918100082
    34 sgo:license sg:explorer/license/
    35 sgo:sdDataset articles
    36 rdf:type schema:ScholarlyArticle
    37 N08fbf6e019fe4539b4041a28c605797a rdf:first sg:person.012313756300.71
    38 rdf:rest rdf:nil
    39 N30d3e741f60e4af8bde2770f90732ead schema:issueNumber 1
    40 rdf:type schema:PublicationIssue
    41 N3e7cd37a94104c87b0eebcd1b223aaa7 schema:name Springer Nature - SN SciGraph project
    42 rdf:type schema:Organization
    43 N866eac34165d4a39a4de5cbf804d0c54 rdf:first sg:person.012134432132.50
    44 rdf:rest N08fbf6e019fe4539b4041a28c605797a
    45 N9599731586ba49489497c919c70f9829 schema:volumeNumber 197
    46 rdf:type schema:PublicationVolume
    47 Naf37ef90629e4238af4c41022df2cfc3 schema:name doi
    48 schema:value 10.1134/s0040577918100082
    49 rdf:type schema:PropertyValue
    50 Ne3fc391795204ca8b1344a3c278a4758 schema:name dimensions_id
    51 schema:value pub.1109783688
    52 rdf:type schema:PropertyValue
    53 Nefdff7ea1260449bbeba25045119a8ac schema:name readcube_id
    54 schema:value a45c1436eae43487df4bbb47cc4b95b56799d65b09b6c1598f5fc46988af84d6
    55 rdf:type schema:PropertyValue
    56 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    57 schema:name Mathematical Sciences
    58 rdf:type schema:DefinedTerm
    59 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    60 schema:name Pure Mathematics
    61 rdf:type schema:DefinedTerm
    62 sg:journal.1327888 schema:issn 0040-5779
    63 2305-3135
    64 schema:name Theoretical and Mathematical Physics
    65 rdf:type schema:Periodical
    66 sg:person.012134432132.50 schema:affiliation https://www.grid.ac/institutes/grid.253555.1
    67 schema:familyName Rosenhaus
    68 schema:givenName V.
    69 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012134432132.50
    70 rdf:type schema:Person
    71 sg:person.012313756300.71 schema:affiliation https://www.grid.ac/institutes/grid.34477.33
    72 schema:familyName Shankar
    73 schema:givenName R.
    74 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012313756300.71
    75 rdf:type schema:Person
    76 sg:pub.10.1007/bf01067273 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021668351
    77 https://doi.org/10.1007/bf01067273
    78 rdf:type schema:CreativeWork
    79 sg:pub.10.1007/s11232-007-0072-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048025129
    80 https://doi.org/10.1007/s11232-007-0072-6
    81 rdf:type schema:CreativeWork
    82 https://doi.org/10.1016/0165-2125(82)90033-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049195856
    83 rdf:type schema:CreativeWork
    84 https://doi.org/10.1016/j.jmaa.2005.02.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026887344
    85 rdf:type schema:CreativeWork
    86 https://doi.org/10.1063/1.1915292 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057831867
    87 rdf:type schema:CreativeWork
    88 https://doi.org/10.1070/im1991v037n02abeh002069 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058167599
    89 rdf:type schema:CreativeWork
    90 https://doi.org/10.1088/0305-4470/22/15/010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059070284
    91 rdf:type schema:CreativeWork
    92 https://doi.org/10.1088/0305-4470/34/3/312 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037154261
    93 rdf:type schema:CreativeWork
    94 https://doi.org/10.1088/1751-8113/49/17/175205 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059174334
    95 rdf:type schema:CreativeWork
    96 https://doi.org/10.1137/0147018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062840494
    97 rdf:type schema:CreativeWork
    98 https://www.grid.ac/institutes/grid.253555.1 schema:alternateName California State University, Chico
    99 schema:name Department of Mathematics and Statistics, California State University, Chico, California, USA
    100 rdf:type schema:Organization
    101 https://www.grid.ac/institutes/grid.34477.33 schema:alternateName University of Washington
    102 schema:name Department of Mathematics, University of Washington, Seattle, Washington, USA
    103 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...