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LIE SYMMETRY ANALYSIS AND INVARIANT SOLUTIONS OF THE GENERALIZED FIFTH-ORDER KDV EQUATION WITH VARIABLE COEFFICIENTS

  • Wang, Gang-Wei (School of Mathematics Sciences, Liaocheng University) ;
  • Liu, Xi-Qiang (School of Mathematics Sciences, Liaocheng University) ;
  • Zhang, Ying-Yuan (School of Mathematics Sciences, Liaocheng University)
  • Received : 2012.01.12
  • Accepted : 2012.04.23
  • Published : 2013.01.30

Abstract

This paper studies the generalized fifth-order KdV equation with variable coefficients using Lie symmetry methods.Lie group classification with respect to the time dependent coefficients is performed. Then we get the similarity reductions using the symmetry and give some exact solutions.

Keywords

References

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Cited by

  1. Group analysis of variable coefficient generalized fifth-order KdV equations vol.11, pp.7, 2014, https://doi.org/10.1134/S1547477114070280