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New explicit solutions of the Burgers equation

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Abstract

Many new and valuable explicit solutions of the Burgers equation are constructed by using three typical nonclassical potential symmetry generators of Burgers equation in [9]. In fact, most of these solutions cannot be derived from the Lie symmetry group of Burgers or its adjoined equation, nor through the Hopf-Cole transformation from the heat equation. The further study reveals that these solutions are the special cases of general solutions obtained in this paper.

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Authors and Affiliations

  1. College of Science, Chongqing Technology and Business University, Chongqing, 400067, China

    Maochang Qin

  2. College of Science, Beijing Institute of Technology, Beijing, 100081, China

    Fengxiang Mei

  3. Department of Mathematics & Statistics, McMaster University, Ontario, Canada

    Guihong Fan

Authors
  1. Maochang Qin
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  2. Fengxiang Mei
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  3. Guihong Fan
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Correspondence to Maochang Qin.

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Qin, M., Mei, F. & Fan, G. New explicit solutions of the Burgers equation. Nonlinear Dyn 48, 91–96 (2007). https://doi.org/10.1007/s11071-006-9075-3

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  • DOI: https://doi.org/10.1007/s11071-006-9075-3

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