• DocumentCode
    456776
  • Title

    FPU Recurrence in the KdV-Type Equations

  • Author

    Chang, Yung-Ming ; Yuan, Juan-Ming ; Chiang, Chin-Chieh

  • Author_Institution
    Dept. of Math., Nat. Taitung Univ.
  • Volume
    2
  • fYear
    2006
  • fDate
    Aug. 30 2006-Sept. 1 2006
  • Firstpage
    523
  • Lastpage
    526
  • Abstract
    This paper is concerned with the study of recurrence phenomena in nonlinear dispersive wave equations using numerical simulation. The generalized KdV-equation, ut+upux+epsiuxxx=0, is investigated. The numerical evidence presented here shows that even non-integrable equations exhibit recurrence phenomena. We also determine an approximate relationship between recurrence time and epsi
  • Keywords
    Korteweg-de Vries equation; dispersion (wave); nonlinear differential equations; numerical analysis; KdV-type equation; Korteweg-de Vries equation; nonintegrable equation; nonlinear dispersive wave equation; numerical simulation; recurrence phenomena; Computer science; Difference equations; Dispersion; Lattices; Mathematics; Nonlinear equations; Numerical simulation; Optical reflection; Partial differential equations; Springs;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Innovative Computing, Information and Control, 2006. ICICIC '06. First International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    0-7695-2616-0
  • Type

    conf

  • DOI
    10.1109/ICICIC.2006.284
  • Filename
    1692040
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=456776