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    • Double compactons in the Olver–Rosenau equation

      Aiyong Chen Shuangquan Wen

      Research Articles Volume 80 Issue 3 March 2013 pp 471-478

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/080/03/0471-0478

    • Keywords

       

      $K(m, n)$ equation; Rosenau–Hyman compacton; Olver–Rosenau compacton.

    • Abstract

       

      It is showed that the fully nonlinear evolution equations of Olver and Rosenau can be reduced to Hamiltonian form by transformation of variables. The resulting Hamiltonian equations are treated by the dynamical systems theory and a phase-space analysis of their singular points is presented. The results of this study demonstrate that the equations can support double compactons. The new Olver–Rosenau compactons are different from the well-known Rosenau–Hyman compacton and Cooper–Shepard–Sodano compacton, because they are induced by a singular elliptic instead of singular straight line on phase-space.

    • Author Affiliations

       

      Aiyong Chen1 Shuangquan Wen1

      1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China

    • Dates

       
      Published
      March 2013
      Manuscript received
      28 February 2012
      Manuscript revised
      4 August 2012
      Accepted
      18 September 2012

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