Bifurcations of Travelling Wave Solutions in Variant Boussinesq Equations

YUAN Yu-bo; PU Dong-mei; LI Shu-min

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YUAN Yu-bo, PU Dong-mei, LI Shu-min. Bifurcations of Travelling Wave Solutions in Variant Boussinesq Equations[J]. Applied Mathematics and Mechanics, 2006, 27(6): 716-726.

Citation:

YUAN Yu-bo, PU Dong-mei, LI Shu-min. Bifurcations of Travelling Wave Solutions in Variant Boussinesq Equations[J]. Applied Mathematics and Mechanics, 2006, 27(6): 716-726.

Citation:

YUAN Yu-bo, PU Dong-mei, LI Shu-min. Bifurcations of Travelling Wave Solutions in Variant Boussinesq Equations[J]. Applied Mathematics and Mechanics, 2006, 27(6): 716-726.

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Bifurcations of Travelling Wave Solutions in Variant Boussinesq Equations

1.
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, P. R. China;

Received Date: 2003-12-20
Rev Recd Date: 2006-03-06
Publish Date: 2006-06-15

Abstract

Abstract

The bifurcations of solitary waves and kink waves for variant Boussinesq equations were studied by using the bifurcation theory of planar dynamical systems.The bifurcation sets and the numbers of solitary waves and kink waves for the variant Boussinesq equations are presented.Several types explicit formulas of solitary wave solutions and kink wave solutions are obtained.In the end, several formulas of periodic wave solutions are presented.
- Hamiltonian system,
- Boussinesq equation,
- bifurcation,
- solitary wave solution,
- kink wave solutions

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References(9)

References

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