Travelling Wave Solutions for a Hight Order Wave Equation of KdV Type

LONG Yao; LI Ji-bin; RUI Wei-guo; HE Bin

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(11): 1296-1306

LONG Yao, LI Ji-bin, RUI Wei-guo, HE Bin. Travelling Wave Solutions for a Hight Order Wave Equation of KdV Type[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1296-1306.

Citation:

LONG Yao, LI Ji-bin, RUI Wei-guo, HE Bin. Travelling Wave Solutions for a Hight Order Wave Equation of KdV Type[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1296-1306.

Citation:

LONG Yao, LI Ji-bin, RUI Wei-guo, HE Bin. Travelling Wave Solutions for a Hight Order Wave Equation of KdV Type[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1296-1306.

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Travelling Wave Solutions for a Hight Order Wave Equation of KdV Type

1.
Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, P. R. China;

Received Date: 2006-02-28
Rev Recd Date: 2007-09-17
Publish Date: 2007-11-15

Abstract

Abstract

The theory of planar dynamical systems is used to study the dynamical behaviour of the travelling wave solutions of a nonlinear wave equations of KdV type. In different regions of the parametric space, sufficient conditions to guarantee the existence of solitary wave solutions, periodic wave solutions, kink and anti-kink wave solutions are given. All possible exact explicit parametric representations are obtained for these waves.
- solitary wave solution,
- periodic wave solution,
- kink wave and anti-kink wave solutions,
- smooth and non-smooth periodic wave

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References(12)

References

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