Bifurcations of Travelling Wave Solutions for Jaulent-Miodek Equations

FENG Da-he; LI Ji-bin

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FENG Da-he, LI Ji-bin. Bifurcations of Travelling Wave Solutions for Jaulent-Miodek Equations[J]. Applied Mathematics and Mechanics, 2007, 28(8): 894-900.

Citation:

FENG Da-he, LI Ji-bin. Bifurcations of Travelling Wave Solutions for Jaulent-Miodek Equations[J]. Applied Mathematics and Mechanics, 2007, 28(8): 894-900.

Citation:

FENG Da-he, LI Ji-bin. Bifurcations of Travelling Wave Solutions for Jaulent-Miodek Equations[J]. Applied Mathematics and Mechanics, 2007, 28(8): 894-900.

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Bifurcations of Travelling Wave Solutions for Jaulent-Miodek Equations

FENG Da-he¹,
LI Ji-bin^1,2

1.
Center for Nonlinear Science Studies, School of Science, Kunming University of Science and Technology, Kunming 650093, P. R. China;

Received Date: 2006-01-03
Rev Recd Date: 2007-03-29
Publish Date: 2007-08-15

Abstract

Abstract

By using the theory of bifurcations of planar dynamical systems to the coupled Jaulent-Miodek equations,the existence of smooth solitary travelling wave solutions and uncountably infinite many smooth periodic travelling wave solutions is studied and the bifurcation parametric sets are shown.Under the given parametric conditions,all possible representations of explicit exact solitary wave solutions and periodic wave solutions are obtained.
- J-M equations,
- solitary wave,
- periodic travelling wave solution

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References(5)

References

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[3]	Chow S N, Hale J K.Method of Bifurcation Theory[M].New York: Springer-Verlag,1981.
[4]	Guckenheimer J, Holmes P J.Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields[M].New York: Springer-Verlag,1983.
[5]	LI Ji-bin. Solitary and periodic travelling wave solutions in Klein-Gordon-Schrdinger equation[J].Journal of Yunnan University,2003,25(3):176-180.