PEAKON, PSEUDO-PEAKON, LOOP, AND PERIODIC CUSP WAVE SOLUTIONS OF A THREE-DIMENSIONAL 3DKP(2, 2) EQUATION WITH NONLINEAR DISPERSION

Haixia Zhao; Lijing Qiao; Shengqiang Tang

doi:10.11948/2015027

2015 Volume 5 Issue 3

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Haixia Zhao, Lijing Qiao, Shengqiang Tang. PEAKON, PSEUDO-PEAKON, LOOP, AND PERIODIC CUSP WAVE SOLUTIONS OF A THREE-DIMENSIONAL 3DKP(2, 2) EQUATION WITH NONLINEAR DISPERSION[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 301-312. doi: 10.11948/2015027

Citation:

Haixia Zhao, Lijing Qiao, Shengqiang Tang. PEAKON, PSEUDO-PEAKON, LOOP, AND PERIODIC CUSP WAVE SOLUTIONS OF A THREE-DIMENSIONAL 3DKP(2, 2) EQUATION WITH NONLINEAR DISPERSION[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 301-312. doi: 10.11948/2015027

PEAKON, PSEUDO-PEAKON, LOOP, AND PERIODIC CUSP WAVE SOLUTIONS OF A THREE-DIMENSIONAL 3DKP(2, 2) EQUATION WITH NONLINEAR DISPERSION

School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin, Guangxi, 541004, P. R. China

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Abstract

Abstract

In this paper, we study the three-dimensional Kadomtsev-Petviashvili equation (3DKP(m, n)) with nonlinear dispersion for m=n=2. By using the bifurcation theory of dynamical systems, we study the dynamical behavior and obtain peakon, pseudo-peakon, loop and periodic cusp wave solutions of the three-dimensional 3DKP(2, 2) equation. The parameter expressions of peakon, pseudo-peakon, loop and periodic cusp wave solutions are obtained and numerical graph are provided for those peakon, pseudo-peakon, loop and periodic cusp wave solutions.
- Bifurcation theory of dynamical systems /
- peakon /
- pseudo-peakon /
- loop solution /
- periodic cusp wave /
- three-dimensional Kadomtsev-Petviashvili equation
MSC: 35C08;37K40;74J35;35Q51

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References

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