• DocumentCode
    3036906
  • Title

    Solutions of the (2+1)-dimensional high-order Broer-Kaup equation

  • Author

    YanJin, Sun ; Li Biao ; Li YuQi

  • Author_Institution
    Fac. of Sci., Ningbo Univ., Ningbo, China
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    2566
  • Lastpage
    2569
  • Abstract
    In this paper we first revisit the Painleve integrability of the (2+1)-dimensional high-order Broer-Kaup equation. Then we get soliton and multi-soliton solutions by both the standard truncation of Painleve analysis and Conte´s truncation of Painleve analysis. Two Backlund transformations are obtained. A much more general kind of multi-soliton solutions are gotten by a special ansatz, which we will describe in detail in the paper.
  • Keywords
    partial differential equations; solitons; 2+1-dimensional high-order Broer-Kaup Equation; Backlund transformation; Painleve analysis; Painleve integrability; multisoliton solution; standard truncation; Inverse problems; Partial differential equations; Polynomials; Propagation; Silicon compounds; Solitons; Bäcklund transformation; Painlevé analysis; Solution ansatz; high-order Broer-Kaup Equation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Technology (ICMT), 2011 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-61284-771-9
  • Type

    conf

  • DOI
    10.1109/ICMT.2011.6002403
  • Filename
    6002403