PEAKON SOLITON SOLUTIONS OF K(2, -2, 4) EQUATION | Zendy

Lijing Qiao | Zendy; Hualiang Fu | Zendy; Shengqiang Tang | Zendy

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PEAKON SOLITON SOLUTIONS OF <i>K</i>(2, -2, 4) EQUATION

Author(s) -

Lijing Qiao,

Hualiang Fu,

Shengqiang Tang

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013029

Subject(s) - peakon , mathematics , mathematical physics , physics , integrable system

In this paper, the qualitative analysis methods of a dynamical system are used to investigate the peakon soliton solutions of K(2;-2; 4) equation: ut + a(u2)x + b[u-2(u4)xx]x = 0. The phase portrait bifurcation of the traveling wave system corresponding to the equation is given. The explicit expressions of the peakon soliton solutions are obtained by using the portraits. The graph of the solutions are given with the numerical simulation. This supplements the results obtained in [4].

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