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

Lijing Qiao; Hualiang Fu; Shengqiang Tang

doi:10.11948/2013029

2013 Volume 3 Issue 4

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Lijing Qiao, Hualiang Fu, Shengqiang Tang. PEAKON SOLITON SOLUTIONS OF K(2, -2, 4) EQUATION[J]. Journal of Applied Analysis & Computation, 2013, 3(4): 399-403. doi: 10.11948/2013029

Citation:

Lijing Qiao, Hualiang Fu, Shengqiang Tang. PEAKON SOLITON SOLUTIONS OF K(2, -2, 4) EQUATION[J]. Journal of Applied Analysis & Computation, 2013, 3(4): 399-403. doi: 10.11948/2013029

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

School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China

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Abstract

Abstract

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:u_t + 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].
- Peakon /
- K(2, -2, 4) equation /
- bifurcation method
MSC: 35C08;37K40;74J35;35Q51

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References

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