Bifurcations of Exact Travelling Wave Solutions to Coupled Higgs Equations and Maccari Systems

WANG Heng; WANG Han-quan; CHEN Long-wei; ZHENG Shu-hua

doi:10.3879/j.issn.1000-0887.2016.04.011

Volume 37 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2016 > 37(4): 434-440

WANG Heng, WANG Han-quan, CHEN Long-wei, ZHENG Shu-hua. Bifurcations of Exact Travelling Wave Solutions to Coupled Higgs Equations and Maccari Systems[J]. Applied Mathematics and Mechanics, 2016, 37(4): 434-440. doi: 10.3879/j.issn.1000-0887.2016.04.011

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Bifurcations of Exact Travelling Wave Solutions to Coupled Higgs Equations and Maccari Systems

doi: 10.3879/j.issn.1000-0887.2016.04.011

¹School of Statistics and Mathematics, Yunnan University of Finance and Economics,Kunming 650221, P.R.China;²Investment and Development Department, Market and Investment Center, Yunnan Water Investment Co., Ltd., Kunming, 650106, P.R.China

Funds: The National Natural Science Foundation of China(11261065)

Received Date: 2015-08-10
Rev Recd Date: 2015-11-11
Publish Date: 2016-04-15

Abstract

Abstract

With the dynamical system method, the qualitative performance of and the exact travelling wave solutions to the coupled Higgs equations and the Maccari systems were studied. Based on this method, all phase portraits of the systems in the parametric space were given. All possible bounded travelling wave solutions such as the solitary wave solutions and the periodic travelling wave solutions were obtained. Through numerical simulation, the smooth solitary wave solutions and the periodic travelling wave solutions were picturized. The results show that the present findings improve the related previous conclusions.
- coupled Higgs equation,
- Maccari system,
- dynamical system,
- travelling wave solution,
- bifurcation

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References(9)

References

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