Travelling Solutions to High-Dimensional Weakly Perturbed Breaking Soliton Wave Equations

ZHANG Liang; LIN Wan-tao; CHEN Xian-feng; MO Jia-qi

doi:10.3879/j.issn.1000-0887.2015.11.008

Volume 36 Issue 11

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ZHANG Liang, LIN Wan-tao, CHEN Xian-feng, MO Jia-qi. Travelling Solutions to High-Dimensional Weakly Perturbed Breaking Soliton Wave Equations[J]. Applied Mathematics and Mechanics, 2015, 36(11): 1204-1210. doi: 10.3879/j.issn.1000-0887.2015.11.008

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Travelling Solutions to High-Dimensional Weakly Perturbed Breaking Soliton Wave Equations

doi: 10.3879/j.issn.1000-0887.2015.11.008

¹Department of Electronics and Information Engineering, Bozhou Teachers College, Bozhou, Anhui 236800, P.R.China;²State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics(Institute of Atmospheric Physics, Chinese Academy of Sciences), Beijing 100029, P.R.China;³Department of Mathematics,Shanghai Jiao Tong University, Shanghai 200240, P.R.China;⁴Department of Mathematics, Anhui Normal University, Wuhu, Anhui 241003, P.R.China

Funds: The National Natural Science Foundation of China(41275062;11371248)

Received Date: 2015-06-15
Rev Recd Date: 2015-07-10
Publish Date: 2015-11-15

Abstract

Abstract

A class of high-dimensional weakly perturbed breaking solitary wave equations were studied. Firstly, the corresponding typical breaking solitary wave equations were considered. The exact solitary wave solution was obtained with the throwing method of undetermined coefficients. Then, the travelling wave asymptotic solution to the original weakly perturbed breaking solitary wave equation was found through functional analysis based on the perturbation theories. Finally, with an example, the proposed travelling wave asymptotic solution to the weakly perturbed breaking solitary wave equation shows the merits of simpleness, validity and good accuracy.
- Korteweg-de Vries equation,
- weak perturbation,
- asymptotic solution

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References(17)

References

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