• Title of article

    Analytic and loop solutions for the K(2,2) equation (focusing branch)

  • Author/Authors

    Li ، Chunhai - Guilin University of Electronic Technology , Tang ، Shengqiang - Guilin University of Electronic Technology , Ma ، Zhongjun - Guilin University of Electronic Technology

  • Pages
    7
  • From page
    1334
  • To page
    1340
  • Abstract
    In this paper, we study analytic and loop solutions of the K(2,2) equation(focusing branch), which is first proposed by Rosenau. The implicit analytic and loop solutions are obtained by using the dynamical system approach. Moreover, we investigate how the famous RosenauHyman compactons can be recovered as limits of classical solitary wave solutions forming analytic homoclinic orbits for the reduced dynamical system by theoretical analysis and numerical simulation.
  • Keywords
    Loop solution , peakon , compacton , solitary wave , K (2 , 2) equation.
  • Journal title
    Journal of Nonlinear Science and Applications
  • Serial Year
    2016
  • Journal title
    Journal of Nonlinear Science and Applications
  • Record number

    2475808