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Advances in Electric and Electronics pp 197–203Cite as

Differential Transform Method for the Degasperis-Procesi Equation

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 155))

Abstract

In this paper, the differential transform method is developed to solve solitary waves governed by Degasperis- Procesi equation. Purely analytic solutions are given for solitons with and without continuity at crest. A Pad´e technique is also combined with DTM. This provides us a new analytic approach to solve soliton with discontinuity.

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References

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Authors and Affiliations

  1. School of Aeronautics and Astronautics, University of Technology, Dalian, P.R. China

    Li Zou, Zhi Zong, Zhen Wang & Shoufu Tian

Authors
  1. Li Zou
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  2. Zhi Zong
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  3. Zhen Wang
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  4. Shoufu Tian
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Corresponding author

Correspondence to Li Zou .

Editor information

Editors and Affiliations

  1. , School of Software, Nanchang University, Jiangxi, Nanchang, 330047, China, People's Republic

    Wensong Hu

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© 2012 Springer-Verlag GmbH Berlin Heidelberg

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Zou, L., Zong, Z., Wang, Z., Tian, S. (2012). Differential Transform Method for the Degasperis-Procesi Equation. In: Hu, W. (eds) Advances in Electric and Electronics. Lecture Notes in Electrical Engineering, vol 155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28744-2_25

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  • DOI: https://doi.org/10.1007/978-3-642-28744-2_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28743-5

  • Online ISBN: 978-3-642-28744-2

  • eBook Packages: EngineeringEngineering (R0)

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