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Explicit peaked wave solutions to the generalized Camassa-Holm equation

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Abstract

By constructing auxiliary differential equations, we obtain peaked solitary wave solutions of the generalized Camassa-Holm equation, including periodic cusp waves expressed in terms of elliptic functions.

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Authors and Affiliations

  1. Applied Technology College, Southwest University of Science and Technology, Mianyang, 621010, China

    Zhen-hui Xu

  2. School of Mathematical Science, Liaocheng University, Liaocheng, 252059, China

    Xi-qiang Liu

Authors
  1. Zhen-hui Xu
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  2. Xi-qiang Liu
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Correspondence to Zhen-hui Xu.

Additional information

Supported by the Nature Science Foundation of Shandong (No. 2004zx16, Q2005A01).

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Xu, Zh., Liu, Xq. Explicit peaked wave solutions to the generalized Camassa-Holm equation. Acta Math. Appl. Sin. Engl. Ser. 26, 277–282 (2010). https://doi.org/10.1007/s10255-008-8116-8

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  • DOI: https://doi.org/10.1007/s10255-008-8116-8

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