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Group analysis, explicit solutions and conservation laws of the Logarithmic-KdV equation

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Abstract

In this paper, the complete description of Lie point symmetries for the logarithmic KdV equation is derived. In terms of the classical Lie symmetry method, the associated vector fields are constructed. Furthermore, the explicit solutions are given. In particular, the conservation laws of the equation are presented.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China

    Gangwei Wang & Tianzhou Xu

Authors
  1. Gangwei Wang
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  2. Tianzhou Xu
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Correspondence to Gangwei Wang.

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Wang, G., Xu, T. Group analysis, explicit solutions and conservation laws of the Logarithmic-KdV equation. Journal of the Korean Physical Society 66, 1475–1481 (2015). https://doi.org/10.3938/jkps.66.1475

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  • DOI: https://doi.org/10.3938/jkps.66.1475

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