• DocumentCode
    674257
  • Title

    Nonlinear Klein-Fock-Gordon equation and Abelian functions

  • Author

    Aero, Eron L. ; Bulygin, Anatolii N. ; Pavlov, Yurii V.

  • Author_Institution
    Inst. of Problems in Mech. Eng., St. Petersburg, Russia
  • fYear
    2013
  • fDate
    27-31 May 2013
  • Firstpage
    5
  • Lastpage
    10
  • Abstract
    Functionally invariant solutions of nonlinear Klein-Fock-Gordon equation are obtained. For some cases they are given by inversion of hyperelliptic, in particular, ultraelliptic integrals. For the last the algorithm of the inversion is described and analytical formulas are given. Results are illustrated by computer calculations.
  • Keywords
    elliptic equations; functional analysis; integral equations; nonlinear differential equations; wave equations; Abelian functions; functionally invariant solutions; hyperelliptic integrals; inversion algorithm; nonlinear Klein-Fock-Gordon equation; ultraelliptic integrals; Diffraction; Jacobian matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2013
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4799-1037-3
  • Type

    conf

  • DOI
    10.1109/DD.2013.6712794
  • Filename
    6712794
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=674257