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Lie Symmetries, Conservation Laws and Exact Solutions for Two Rod Equations

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Abstract

In this paper, the Lie symmetry analysis are performed for the two rod equations. The infinite number of conservation laws (CLs) for the two equations are derived from the direct method. Furthermore, the all similarity reductions and exact explicit solutions are provided.

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Authors and Affiliations

  1. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming, Yunnan, 650093, China

    Hanze Liu & Jibin Li

  2. Department of Mathematics, Binzhou University, Binzhou, Shandong, 256603, China

    Hanze Liu

  3. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, China

    Jibin Li

Authors
  1. Hanze Liu
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  2. Jibin Li
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Correspondence to Hanze Liu.

Additional information

This work is supported by the Natural Science Foundation of China (No.10671179 and No.10771196), the Natural Science Foundation of Binzhou University (Bzxykj0806).

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Liu, H., Li, J. Lie Symmetries, Conservation Laws and Exact Solutions for Two Rod Equations. Acta Appl Math 110, 573–587 (2010). https://doi.org/10.1007/s10440-009-9462-0

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  • DOI: https://doi.org/10.1007/s10440-009-9462-0

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