• DocumentCode
    2531475
  • Title

    Lie Symmetry Analysis and Exact Solutions for the Coupled Kuramoto-Sivashinsky Equations

  • Author

    Yan, Fang ; Hua, Cuncai ; Liu, Haihong ; Liu, Zengrong

  • fYear
    2011
  • fDate
    19-22 Oct. 2011
  • Firstpage
    61
  • Lastpage
    65
  • Abstract
    Lie symmetry analysis and basic similarity reductions are performed for the coupled Kuramoto-Sivashinsky(KS) equations. With aid of symbolic computation of Maple software, the continuous Lie point symmetry technique is extended to obtain corresponding infinitesimals. Similarity reductions are derived by solving the characteristic equations. In particular, families of new exact solutions of the coupled Kuramoto-Sivashinsky(CKS) equations are constructed.
  • Keywords
    Lie groups; chaos; symmetry; Lie symmetry analysis; Maple software; chaos; coupled Kuramoto-Sivashinsky equations; Differential equations; Equations; Generators; Mathematical model; Presses; Vectors; Group invariant solutions; Lie symmetry; Symmetry;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-4577-1798-7
  • Type

    conf

  • DOI
    10.1109/IWCFTA.2011.61
  • Filename
    6093492
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2531475