The Soliton Solutions to a Class of Nonlinear Hyperbolic Evolution Equations

FENG Yi-hu; CHEN Xian-feng; MO Jia-qi

doi:10.3879/j.issn.1000-0887.2015.10.007

Volume 36 Issue 10

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FENG Yi-hu, CHEN Xian-feng, MO Jia-qi. The Soliton Solutions to a Class of Nonlinear Hyperbolic Evolution Equations[J]. Applied Mathematics and Mechanics, 2015, 36(10): 1076-1084. doi: 10.3879/j.issn.1000-0887.2015.10.007

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The Soliton Solutions to a Class of Nonlinear Hyperbolic Evolution Equations

doi: 10.3879/j.issn.1000-0887.2015.10.007

¹Department of Electronics and Information Engineering,Bozhou Teachers College, Bozhou, Anhui 236800, P.R.China;²Department of Mathematics, Shanghai Jiao Tong University,Shanghai 200240, P.R.China;³Department of Mathemtics, Anhui Normal University,Wuhu, Anhui 241003, P.R.China

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

Received Date: 2015-05-25
Rev Recd Date: 2015-06-04
Publish Date: 2015-10-15

Abstract

Abstract

A class of nonlinear evolution equations were investigated. With the undetermined functions and functional homotopic mapping methods, the exact solitary solution to the non-disturbed evolution equation and the arbitrary order approximate travelling wave solitary solution to the disturbed evolution equation were obtained. A homotopic mapping was introduced, and an initial approximate function was chosen to find out successively the arbitrary order solitary approximate analytic solutions to the nonlinear hyperbolic evolution equation based on the homotopic mapping theory. With the perturbation method, the examples illustrated the validity and approximation degree of the arbitrary order approximate solutions. A discussion shows the practicability and high accuracy of the approximate solutions obtained with the proposed homotopic mapping method.
- soliton solution,
- disturbed,
- nonlinear hyperbolic equation

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References(26)

References

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