Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (2): 7-10.DOI: 10.13438/j.cnki.jdzk.2022.02.002

• Mathematics • Previous Articles     Next Articles

Allowed Transformations and Symmetry Groups of Variable-Coefficient Gordoa-Pickering Equation

SU Dan,YONG Xuelin   

  1. (1.Department of Mathematics,Zhanjiang Preschool Education College,Zhanjiang 524084,Guangdong China;2.School of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)
  • Online:2022-03-25 Published:2022-07-14

Abstract: The allowed transformations of the variable coefficient Gordoa-Pickering (VCGP) equation with six arbitrary functions are obtained.These transformations keep the form of the equation invariant but possibly change the arbitrary coefficients.Based on the allowed transformations,two types of Lie point symmetry groups are found.Finally,symmetry reductions and group invariant solutions of the VCGP equation are also considered.

Key words: variable coefficient Gordoa-Pickering equation, allowed transformations, symmetry group, group invariant solutions

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