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Construction of Exact Traveling Wave for KP-Type Equation Based on Symbolic Computation

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Advanced Research on Computer Education, Simulation and Modeling (CESM 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 175))

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Abstract

The (2+1)-dimensional KP-type equation arising from the soliton hierarchy associated with new spectral problem is studied, it is the compatible condition of Lax triad. With the aid of symbolic computation system Mathematica, theta function periodic solutions for the (2+1)-dimensional KP-type equation are constructed by the auxiliary equation method.

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Author information

Authors and Affiliations

  1. School of mathematics and information science, Pingdingshan University, Pingdingshan, 467000, China

    Qingfu Li

  2. Department of mathematics and information science, Henan University of Finance and Law, Zhengzhou, 450002, China

    Ruihua Cheng

Authors
  1. Qingfu Li
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  2. Ruihua Cheng
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Editor information

Editors and Affiliations

  1. International Science & Education Researcher Association Wuhan Branch, No.1, Jiangxia Road, Wuhan, China

    Song Lin  & Xiong Huang  & 

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© 2011 Springer-Verlag Berlin Heidelberg

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Li, Q., Cheng, R. (2011). Construction of Exact Traveling Wave for KP-Type Equation Based on Symbolic Computation. In: Lin, S., Huang, X. (eds) Advanced Research on Computer Education, Simulation and Modeling. CESM 2011. Communications in Computer and Information Science, vol 175. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21783-8_46

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  • DOI: https://doi.org/10.1007/978-3-642-21783-8_46

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21782-1

  • Online ISBN: 978-3-642-21783-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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